Finding the Third Proportional to 49,839 and 109,470

Step by Step Solution

1. Step 1: Write the proportion equation
   49,839 : 109,470 = 109,470 : x
2. Step 2: Convert to fraction form
   49,839/109,470 = 109,470/x
3. Step 3: Cross multiply
   49,839x = 109,470 × 109,470
4. Step 4: Simplify right side
   49,839x = 11,983,680,900
5. Step 5: Solve for x
   x = 11,983,680,900/49,839
6. Step 6: Final answer
   x = 240,447.86