Finding the Third Proportional to 49,408 and 109,870

Step by Step Solution

1. Step 1: Write the proportion equation
   49,408 : 109,870 = 109,870 : x
2. Step 2: Convert to fraction form
   49,408/109,870 = 109,870/x
3. Step 3: Cross multiply
   49,408x = 109,870 × 109,870
4. Step 4: Simplify right side
   49,408x = 12,071,416,900
5. Step 5: Solve for x
   x = 12,071,416,900/49,408
6. Step 6: Final answer
   x = 244,321.10