Finding the Third Proportional to 525,645 and 823,471.50

Step by Step Solution

1. Step 1: Write the proportion equation
   525,645 : 823,471.50 = 823,471.50 : x
2. Step 2: Convert to fraction form
   525,645/823,471.50 = 823,471.50/x
3. Step 3: Cross multiply
   525,645x = 823,471.50 × 823,471.50
4. Step 4: Simplify right side
   525,645x = 678,105,311,312.25
5. Step 5: Solve for x
   x = 678,105,311,312.25/525,645
6. Step 6: Final answer
   x = 1,290,044.25