Finding the Third Proportional to 52,166 and 111,718

Step by Step Solution

1. Step 1: Write the proportion equation
   52,166 : 111,718 = 111,718 : x
2. Step 2: Convert to fraction form
   52,166/111,718 = 111,718/x
3. Step 3: Cross multiply
   52,166x = 111,718 × 111,718
4. Step 4: Simplify right side
   52,166x = 12,480,911,524
5. Step 5: Solve for x
   x = 12,480,911,524/52,166
6. Step 6: Final answer
   x = 239,253.76