Finding the Third Proportional to 23,209,120,919,096 and 49,678,571,788,764

Step by Step Solution

1. Step 1: Write the proportion equation
   23,209,120,919,096 : 49,678,571,788,764 = 49,678,571,788,764 : x
2. Step 2: Convert to fraction form
   23,209,120,919,096/49,678,571,788,764 = 49,678,571,788,764/x
3. Step 3: Cross multiply
   23,209,120,919,096x = 49,678,571,788,764 × 49,678,571,788,764
4. Step 4: Simplify right side
   23,209,120,919,096x = 2,467,960,494,971,378,501,058,297,856
5. Step 5: Solve for x
   x = 2,467,960,494,971,378,501,058,297,856/23,209,120,919,096
6. Step 6: Final answer
   x = 106,335,802,358,666.25