Finding the Third Proportional to 59,197.50 and 126,819

Step by Step Solution

1. Step 1: Write the proportion equation
   59,197.50 : 126,819 = 126,819 : x
2. Step 2: Convert to fraction form
   59,197.50/126,819 = 126,819/x
3. Step 3: Cross multiply
   59,197.50x = 126,819 × 126,819
4. Step 4: Simplify right side
   59,197.50x = 16,083,058,761
5. Step 5: Solve for x
   x = 16,083,058,761/59,197.50
6. Step 6: Final answer
   x = 271,684.76