Finding the Third Proportional to 52,498 and 116,552

Step by Step Solution

1. Step 1: Write the proportion equation
   52,498 : 116,552 = 116,552 : x
2. Step 2: Convert to fraction form
   52,498/116,552 = 116,552/x
3. Step 3: Cross multiply
   52,498x = 116,552 × 116,552
4. Step 4: Simplify right side
   52,498x = 13,584,368,704
5. Step 5: Solve for x
   x = 13,584,368,704/52,498
6. Step 6: Final answer
   x = 258,759.74