Finding the Third Proportional to 59,584.50 and 128,295

Step by Step Solution

1. Step 1: Write the proportion equation
   59,584.50 : 128,295 = 128,295 : x
2. Step 2: Convert to fraction form
   59,584.50/128,295 = 128,295/x
3. Step 3: Cross multiply
   59,584.50x = 128,295 × 128,295
4. Step 4: Simplify right side
   59,584.50x = 16,459,607,025
5. Step 5: Solve for x
   x = 16,459,607,025/59,584.50
6. Step 6: Final answer
   x = 276,239.74