Finding the Third Proportional to 52,661 and 112,738

Step by Step Solution

1. Step 1: Write the proportion equation
   52,661 : 112,738 = 112,738 : x
2. Step 2: Convert to fraction form
   52,661/112,738 = 112,738/x
3. Step 3: Cross multiply
   52,661x = 112,738 × 112,738
4. Step 4: Simplify right side
   52,661x = 12,709,856,644
5. Step 5: Solve for x
   x = 12,709,856,644/52,661
6. Step 6: Final answer
   x = 241,352.36