Finding the Third Proportional to 59,095.50 and 126,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,095.50 : 126,493.50 = 126,493.50 : x
2. Step 2: Convert to fraction form
   59,095.50/126,493.50 = 126,493.50/x
3. Step 3: Cross multiply
   59,095.50x = 126,493.50 × 126,493.50
4. Step 4: Simplify right side
   59,095.50x = 16,000,605,542.25
5. Step 5: Solve for x
   x = 16,000,605,542.25/59,095.50
6. Step 6: Final answer
   x = 270,758.44