Finding the Third Proportional to 740,412,931,469 and 1,042,664,564,665

Step by Step Solution

1. Step 1: Write the proportion equation
   740,412,931,469 : 1,042,664,564,665 = 1,042,664,564,665 : x
2. Step 2: Convert to fraction form
   740,412,931,469/1,042,664,564,665 = 1,042,664,564,665/x
3. Step 3: Cross multiply
   740,412,931,469x = 1,042,664,564,665 × 1,042,664,564,665
4. Step 4: Simplify right side
   740,412,931,469x = 1,087,149,394,408,053,969,780,736
5. Step 5: Solve for x
   x = 1,087,149,394,408,053,969,780,736/740,412,931,469
6. Step 6: Final answer
   x = 1,468,301,468,278.14