Finding the Third Proportional to 536,631 and 726,214.50

Step by Step Solution

1. Step 1: Write the proportion equation
   536,631 : 726,214.50 = 726,214.50 : x
2. Step 2: Convert to fraction form
   536,631/726,214.50 = 726,214.50/x
3. Step 3: Cross multiply
   536,631x = 726,214.50 × 726,214.50
4. Step 4: Simplify right side
   536,631x = 527,387,500,010.25
5. Step 5: Solve for x
   x = 527,387,500,010.25/536,631
6. Step 6: Final answer
   x = 982,774.94