Finding the Third Proportional to 497,117.25 and 765,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   497,117.25 : 765,085.50 = 765,085.50 : x
2. Step 2: Convert to fraction form
   497,117.25/765,085.50 = 765,085.50/x
3. Step 3: Cross multiply
   497,117.25x = 765,085.50 × 765,085.50
4. Step 4: Simplify right side
   497,117.25x = 585,355,822,310.25
5. Step 5: Solve for x
   x = 585,355,822,310.25/497,117.25
6. Step 6: Final answer
   x = 1,177,500.52