Finding the Third Proportional to 62.94 and 137.31

Step by Step Solution

1. Step 1: Write the proportion equation
   62.94 : 137.31 = 137.31 : x
2. Step 2: Convert to fraction form
   62.94/137.31 = 137.31/x
3. Step 3: Cross multiply
   62.94x = 137.31 × 137.31
4. Step 4: Simplify right side
   62.94x = 18,854.72
5. Step 5: Solve for x
   x = 18,854.72/62.94
6. Step 6: Final answer
   x = 299.58