Finding the Third Proportional to 525,688.50 and 823,572

Step by Step Solution

1. Step 1: Write the proportion equation
   525,688.50 : 823,572 = 823,572 : x
2. Step 2: Convert to fraction form
   525,688.50/823,572 = 823,572/x
3. Step 3: Cross multiply
   525,688.50x = 823,572 × 823,572
4. Step 4: Simplify right side
   525,688.50x = 678,270,839,184
5. Step 5: Solve for x
   x = 678,270,839,184/525,688.50
6. Step 6: Final answer
   x = 1,290,252.38