Finding the Third Proportional to 52,201 and 111,782

Step by Step Solution

1. Step 1: Write the proportion equation
   52,201 : 111,782 = 111,782 : x
2. Step 2: Convert to fraction form
   52,201/111,782 = 111,782/x
3. Step 3: Cross multiply
   52,201x = 111,782 × 111,782
4. Step 4: Simplify right side
   52,201x = 12,495,215,524
5. Step 5: Solve for x
   x = 12,495,215,524/52,201
6. Step 6: Final answer
   x = 239,367.36