Finding the Third Proportional to 52,002 and 112,617

Step by Step Solution

1. Step 1: Write the proportion equation
   52,002 : 112,617 = 112,617 : x
2. Step 2: Convert to fraction form
   52,002/112,617 = 112,617/x
3. Step 3: Cross multiply
   52,002x = 112,617 × 112,617
4. Step 4: Simplify right side
   52,002x = 12,682,588,689
5. Step 5: Solve for x
   x = 12,682,588,689/52,002
6. Step 6: Final answer
   x = 243,886.56