Finding the Third Proportional to 131.38 and 288.63

Step by Step Solution

1. Step 1: Write the proportion equation
   131.38 : 288.63 = 288.63 : x
2. Step 2: Convert to fraction form
   131.38/288.63 = 288.63/x
3. Step 3: Cross multiply
   131.38x = 288.63 × 288.63
4. Step 4: Simplify right side
   131.38x = 83,304.39
5. Step 5: Solve for x
   x = 83,304.39/131.38
6. Step 6: Final answer
   x = 634.10