Finding the Third Proportional to 592.50 and 688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   592.50 : 688.50 = 688.50 : x
2. Step 2: Convert to fraction form
   592.50/688.50 = 688.50/x
3. Step 3: Cross multiply
   592.50x = 688.50 × 688.50
4. Step 4: Simplify right side
   592.50x = 474,032.25
5. Step 5: Solve for x
   x = 474,032.25/592.50
6. Step 6: Final answer
   x = 800.05