Finding the Third Proportional to 131.50 and 289.38

Step by Step Solution

1. Step 1: Write the proportion equation
   131.50 : 289.38 = 289.38 : x
2. Step 2: Convert to fraction form
   131.50/289.38 = 289.38/x
3. Step 3: Cross multiply
   131.50x = 289.38 × 289.38
4. Step 4: Simplify right side
   131.50x = 83,737.89
5. Step 5: Solve for x
   x = 83,737.89/131.50
6. Step 6: Final answer
   x = 636.79