Finding the Third Proportional to 656,998.50 and 726,118.50

Step by Step Solution

1. Step 1: Write the proportion equation
   656,998.50 : 726,118.50 = 726,118.50 : x
2. Step 2: Convert to fraction form
   656,998.50/726,118.50 = 726,118.50/x
3. Step 3: Cross multiply
   656,998.50x = 726,118.50 × 726,118.50
4. Step 4: Simplify right side
   656,998.50x = 527,248,076,042.25
5. Step 5: Solve for x
   x = 527,248,076,042.25/656,998.50
6. Step 6: Final answer
   x = 802,510.32