Finding the Third Proportional to 409.50 and 592.31

Step by Step Solution

1. Step 1: Write the proportion equation
   409.50 : 592.31 = 592.31 : x
2. Step 2: Convert to fraction form
   409.50/592.31 = 592.31/x
3. Step 3: Cross multiply
   409.50x = 592.31 × 592.31
4. Step 4: Simplify right side
   409.50x = 350,834.10
5. Step 5: Solve for x
   x = 350,834.10/409.50
6. Step 6: Final answer
   x = 856.74