Finding the Third Proportional to 131.50 and 292.25

Step by Step Solution

1. Step 1: Write the proportion equation
   131.50 : 292.25 = 292.25 : x
2. Step 2: Convert to fraction form
   131.50/292.25 = 292.25/x
3. Step 3: Cross multiply
   131.50x = 292.25 × 292.25
4. Step 4: Simplify right side
   131.50x = 85,410.06
5. Step 5: Solve for x
   x = 85,410.06/131.50
6. Step 6: Final answer
   x = 649.51