Finding the Third Proportional to 52,441 and 113,630

Step by Step Solution

1. Step 1: Write the proportion equation
   52,441 : 113,630 = 113,630 : x
2. Step 2: Convert to fraction form
   52,441/113,630 = 113,630/x
3. Step 3: Cross multiply
   52,441x = 113,630 × 113,630
4. Step 4: Simplify right side
   52,441x = 12,911,776,900
5. Step 5: Solve for x
   x = 12,911,776,900/52,441
6. Step 6: Final answer
   x = 246,215.31