Finding the Third Proportional to 59.91 and 137.11

Step by Step Solution

1. Step 1: Write the proportion equation
   59.91 : 137.11 = 137.11 : x
2. Step 2: Convert to fraction form
   59.91/137.11 = 137.11/x
3. Step 3: Cross multiply
   59.91x = 137.11 × 137.11
4. Step 4: Simplify right side
   59.91x = 18,798.98
5. Step 5: Solve for x
   x = 18,798.98/59.91
6. Step 6: Final answer
   x = 313.81