Finding the Third Proportional to 525,022.50 and 814,480.50

Step by Step Solution

1. Step 1: Write the proportion equation
   525,022.50 : 814,480.50 = 814,480.50 : x
2. Step 2: Convert to fraction form
   525,022.50/814,480.50 = 814,480.50/x
3. Step 3: Cross multiply
   525,022.50x = 814,480.50 × 814,480.50
4. Step 4: Simplify right side
   525,022.50x = 663,378,484,880.25
5. Step 5: Solve for x
   x = 663,378,484,880.25/525,022.50
6. Step 6: Final answer
   x = 1,263,523.92