Finding the Third Proportional to 124.31 and 292.59

Step by Step Solution

1. Step 1: Write the proportion equation
   124.31 : 292.59 = 292.59 : x
2. Step 2: Convert to fraction form
   124.31/292.59 = 292.59/x
3. Step 3: Cross multiply
   124.31x = 292.59 × 292.59
4. Step 4: Simplify right side
   124.31x = 85,611.10
5. Step 5: Solve for x
   x = 85,611.10/124.31
6. Step 6: Final answer
   x = 688.68