Finding the Third Proportional to 52,878 and 116,124

Step by Step Solution

1. Step 1: Write the proportion equation
   52,878 : 116,124 = 116,124 : x
2. Step 2: Convert to fraction form
   52,878/116,124 = 116,124/x
3. Step 3: Cross multiply
   52,878x = 116,124 × 116,124
4. Step 4: Simplify right side
   52,878x = 13,484,783,376
5. Step 5: Solve for x
   x = 13,484,783,376/52,878
6. Step 6: Final answer
   x = 255,016.90