Finding the Third Proportional to 61,675 and 132,705

Step by Step Solution

1. Step 1: Write the proportion equation
   61,675 : 132,705 = 132,705 : x
2. Step 2: Convert to fraction form
   61,675/132,705 = 132,705/x
3. Step 3: Cross multiply
   61,675x = 132,705 × 132,705
4. Step 4: Simplify right side
   61,675x = 17,610,617,025
5. Step 5: Solve for x
   x = 17,610,617,025/61,675
6. Step 6: Final answer
   x = 285,538.99