Finding the Third Proportional to 506,085.47 and 764,356.50

Step by Step Solution

1. Step 1: Write the proportion equation
   506,085.47 : 764,356.50 = 764,356.50 : x
2. Step 2: Convert to fraction form
   506,085.47/764,356.50 = 764,356.50/x
3. Step 3: Cross multiply
   506,085.47x = 764,356.50 × 764,356.50
4. Step 4: Simplify right side
   506,085.47x = 584,240,859,092.25
5. Step 5: Solve for x
   x = 584,240,859,092.25/506,085.47
6. Step 6: Final answer
   x = 1,154,431.21