Finding the Third Proportional to 57,741 and 126,505.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,741 : 126,505.50 = 126,505.50 : x
2. Step 2: Convert to fraction form
   57,741/126,505.50 = 126,505.50/x
3. Step 3: Cross multiply
   57,741x = 126,505.50 × 126,505.50
4. Step 4: Simplify right side
   57,741x = 16,003,641,530.25
5. Step 5: Solve for x
   x = 16,003,641,530.25/57,741
6. Step 6: Final answer
   x = 277,162.53