Finding the Third Proportional to 52,506 and 113,760

Step by Step Solution

1. Step 1: Write the proportion equation
   52,506 : 113,760 = 113,760 : x
2. Step 2: Convert to fraction form
   52,506/113,760 = 113,760/x
3. Step 3: Cross multiply
   52,506x = 113,760 × 113,760
4. Step 4: Simplify right side
   52,506x = 12,941,337,600
5. Step 5: Solve for x
   x = 12,941,337,600/52,506
6. Step 6: Final answer
   x = 246,473.50