Finding the Third Proportional to 460,746 and 687,568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   460,746 : 687,568.50 = 687,568.50 : x
2. Step 2: Convert to fraction form
   460,746/687,568.50 = 687,568.50/x
3. Step 3: Cross multiply
   460,746x = 687,568.50 × 687,568.50
4. Step 4: Simplify right side
   460,746x = 472,750,442,192.25
5. Step 5: Solve for x
   x = 472,750,442,192.25/460,746
6. Step 6: Final answer
   x = 1,026,054.36