Finding the Third Proportional to 52,680 and 116,436

Step by Step Solution

1. Step 1: Write the proportion equation
   52,680 : 116,436 = 116,436 : x
2. Step 2: Convert to fraction form
   52,680/116,436 = 116,436/x
3. Step 3: Cross multiply
   52,680x = 116,436 × 116,436
4. Step 4: Simplify right side
   52,680x = 13,557,342,096
5. Step 5: Solve for x
   x = 13,557,342,096/52,680
6. Step 6: Final answer
   x = 257,352.74