Finding the Third Proportional to 52,401 and 113,140

Step by Step Solution

1. Step 1: Write the proportion equation
   52,401 : 113,140 = 113,140 : x
2. Step 2: Convert to fraction form
   52,401/113,140 = 113,140/x
3. Step 3: Cross multiply
   52,401x = 113,140 × 113,140
4. Step 4: Simplify right side
   52,401x = 12,800,659,600
5. Step 5: Solve for x
   x = 12,800,659,600/52,401
6. Step 6: Final answer
   x = 244,282.74