Finding the Third Proportional to 52,000 and 113,872

Step by Step Solution

1. Step 1: Write the proportion equation
   52,000 : 113,872 = 113,872 : x
2. Step 2: Convert to fraction form
   52,000/113,872 = 113,872/x
3. Step 3: Cross multiply
   52,000x = 113,872 × 113,872
4. Step 4: Simplify right side
   52,000x = 12,966,832,384
5. Step 5: Solve for x
   x = 12,966,832,384/52,000
6. Step 6: Final answer
   x = 249,362.16