Finding the Third Proportional to 132.89 and 284.77

Step by Step Solution

1. Step 1: Write the proportion equation
   132.89 : 284.77 = 284.77 : x
2. Step 2: Convert to fraction form
   132.89/284.77 = 284.77/x
3. Step 3: Cross multiply
   132.89x = 284.77 × 284.77
4. Step 4: Simplify right side
   132.89x = 81,091.46
5. Step 5: Solve for x
   x = 81,091.46/132.89
6. Step 6: Final answer
   x = 610.21