Finding the Third Proportional to 352,552 and 514,061

Step by Step Solution

1. Step 1: Write the proportion equation
   352,552 : 514,061 = 514,061 : x
2. Step 2: Convert to fraction form
   352,552/514,061 = 514,061/x
3. Step 3: Cross multiply
   352,552x = 514,061 × 514,061
4. Step 4: Simplify right side
   352,552x = 264,258,711,721
5. Step 5: Solve for x
   x = 264,258,711,721/352,552
6. Step 6: Final answer
   x = 749,559.53