Finding the Third Proportional to 61.83 and 132.23

Step by Step Solution

1. Step 1: Write the proportion equation
   61.83 : 132.23 = 132.23 : x
2. Step 2: Convert to fraction form
   61.83/132.23 = 132.23/x
3. Step 3: Cross multiply
   61.83x = 132.23 × 132.23
4. Step 4: Simplify right side
   61.83x = 17,485.93
5. Step 5: Solve for x
   x = 17,485.93/61.83
6. Step 6: Final answer
   x = 282.82