Finding the Third Proportional to 57,140 and 124,856

Step by Step Solution

1. Step 1: Write the proportion equation
   57,140 : 124,856 = 124,856 : x
2. Step 2: Convert to fraction form
   57,140/124,856 = 124,856/x
3. Step 3: Cross multiply
   57,140x = 124,856 × 124,856
4. Step 4: Simplify right side
   57,140x = 15,589,020,736
5. Step 5: Solve for x
   x = 15,589,020,736/57,140
6. Step 6: Final answer
   x = 272,821.50