Finding the Third Proportional to 525,637.50 and 823,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   525,637.50 : 823,459.50 = 823,459.50 : x
2. Step 2: Convert to fraction form
   525,637.50/823,459.50 = 823,459.50/x
3. Step 3: Cross multiply
   525,637.50x = 823,459.50 × 823,459.50
4. Step 4: Simplify right side
   525,637.50x = 678,085,548,140.25
5. Step 5: Solve for x
   x = 678,085,548,140.25/525,637.50
6. Step 6: Final answer
   x = 1,290,025.06