Finding the Third Proportional to 52,086 and 111,705

Step by Step Solution

1. Step 1: Write the proportion equation
   52,086 : 111,705 = 111,705 : x
2. Step 2: Convert to fraction form
   52,086/111,705 = 111,705/x
3. Step 3: Cross multiply
   52,086x = 111,705 × 111,705
4. Step 4: Simplify right side
   52,086x = 12,478,007,025
5. Step 5: Solve for x
   x = 12,478,007,025/52,086
6. Step 6: Final answer
   x = 239,565.47