Finding the Third Proportional to 61,583.50 and 132,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,583.50 : 132,665.50 = 132,665.50 : x
2. Step 2: Convert to fraction form
   61,583.50/132,665.50 = 132,665.50/x
3. Step 3: Cross multiply
   61,583.50x = 132,665.50 × 132,665.50
4. Step 4: Simplify right side
   61,583.50x = 17,600,134,890.25
5. Step 5: Solve for x
   x = 17,600,134,890.25/61,583.50
6. Step 6: Final answer
   x = 285,793.03