Finding the Third Proportional to 73,685,326,980 and 113,189,676,825

Step by Step Solution

1. Step 1: Write the proportion equation
   73,685,326,980 : 113,189,676,825 = 113,189,676,825 : x
2. Step 2: Convert to fraction form
   73,685,326,980/113,189,676,825 = 113,189,676,825/x
3. Step 3: Cross multiply
   73,685,326,980x = 113,189,676,825 × 113,189,676,825
4. Step 4: Simplify right side
   73,685,326,980x = 12,811,902,939,747,942,662,144
5. Step 5: Solve for x
   x = 12,811,902,939,747,942,662,144/73,685,326,980
6. Step 6: Final answer
   x = 173,873,191,106.63