Finding the Third Proportional to 464,585 and 654,259.50

Step by Step Solution

1. Step 1: Write the proportion equation
   464,585 : 654,259.50 = 654,259.50 : x
2. Step 2: Convert to fraction form
   464,585/654,259.50 = 654,259.50/x
3. Step 3: Cross multiply
   464,585x = 654,259.50 × 654,259.50
4. Step 4: Simplify right side
   464,585x = 428,055,493,340.25
5. Step 5: Solve for x
   x = 428,055,493,340.25/464,585
6. Step 6: Final answer
   x = 921,371.75