Finding the Third Proportional to 59.06 and 131.06

Step by Step Solution

1. Step 1: Write the proportion equation
   59.06 : 131.06 = 131.06 : x
2. Step 2: Convert to fraction form
   59.06/131.06 = 131.06/x
3. Step 3: Cross multiply
   59.06x = 131.06 × 131.06
4. Step 4: Simplify right side
   59.06x = 17,177.38
5. Step 5: Solve for x
   x = 17,177.38/59.06
6. Step 6: Final answer
   x = 290.83