Finding the Third Proportional to 52,352 and 113,624

Step by Step Solution

1. Step 1: Write the proportion equation
   52,352 : 113,624 = 113,624 : x
2. Step 2: Convert to fraction form
   52,352/113,624 = 113,624/x
3. Step 3: Cross multiply
   52,352x = 113,624 × 113,624
4. Step 4: Simplify right side
   52,352x = 12,910,413,376
5. Step 5: Solve for x
   x = 12,910,413,376/52,352
6. Step 6: Final answer
   x = 246,607.83