Finding the Third Proportional to 49,262 and 78,018

Step by Step Solution

1. Step 1: Write the proportion equation
   49,262 : 78,018 = 78,018 : x
2. Step 2: Convert to fraction form
   49,262/78,018 = 78,018/x
3. Step 3: Cross multiply
   49,262x = 78,018 × 78,018
4. Step 4: Simplify right side
   49,262x = 6,086,808,324
5. Step 5: Solve for x
   x = 6,086,808,324/49,262
6. Step 6: Final answer
   x = 123,559.91