Finding the Third Proportional to 57,684 and 124,116

Step by Step Solution

1. Step 1: Write the proportion equation
   57,684 : 124,116 = 124,116 : x
2. Step 2: Convert to fraction form
   57,684/124,116 = 124,116/x
3. Step 3: Cross multiply
   57,684x = 124,116 × 124,116
4. Step 4: Simplify right side
   57,684x = 15,404,781,456
5. Step 5: Solve for x
   x = 15,404,781,456/57,684
6. Step 6: Final answer
   x = 267,054.67