Finding the Third Proportional to 59,096.50 and 127,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,096.50 : 127,665.50 = 127,665.50 : x
2. Step 2: Convert to fraction form
   59,096.50/127,665.50 = 127,665.50/x
3. Step 3: Cross multiply
   59,096.50x = 127,665.50 × 127,665.50
4. Step 4: Simplify right side
   59,096.50x = 16,298,479,890.25
5. Step 5: Solve for x
   x = 16,298,479,890.25/59,096.50
6. Step 6: Final answer
   x = 275,794.33