Finding the Third Proportional to 52,172 and 112,498

Step by Step Solution

1. Step 1: Write the proportion equation
   52,172 : 112,498 = 112,498 : x
2. Step 2: Convert to fraction form
   52,172/112,498 = 112,498/x
3. Step 3: Cross multiply
   52,172x = 112,498 × 112,498
4. Step 4: Simplify right side
   52,172x = 12,655,800,004
5. Step 5: Solve for x
   x = 12,655,800,004/52,172
6. Step 6: Final answer
   x = 242,578.39