Finding the Third Proportional to 49,892 and 109,180

Step by Step Solution

1. Step 1: Write the proportion equation
   49,892 : 109,180 = 109,180 : x
2. Step 2: Convert to fraction form
   49,892/109,180 = 109,180/x
3. Step 3: Cross multiply
   49,892x = 109,180 × 109,180
4. Step 4: Simplify right side
   49,892x = 11,920,272,400
5. Step 5: Solve for x
   x = 11,920,272,400/49,892
6. Step 6: Final answer
   x = 238,921.52