Finding the Third Proportional to 61,586 and 132,380.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,586 : 132,380.50 = 132,380.50 : x
2. Step 2: Convert to fraction form
   61,586/132,380.50 = 132,380.50/x
3. Step 3: Cross multiply
   61,586x = 132,380.50 × 132,380.50
4. Step 4: Simplify right side
   61,586x = 17,524,596,780.25
5. Step 5: Solve for x
   x = 17,524,596,780.25/61,586
6. Step 6: Final answer
   x = 284,554.88