Finding the Third Proportional to 49,742 and 108,141

Step by Step Solution

1. Step 1: Write the proportion equation
   49,742 : 108,141 = 108,141 : x
2. Step 2: Convert to fraction form
   49,742/108,141 = 108,141/x
3. Step 3: Cross multiply
   49,742x = 108,141 × 108,141
4. Step 4: Simplify right side
   49,742x = 11,694,475,881
5. Step 5: Solve for x
   x = 11,694,475,881/49,742
6. Step 6: Final answer
   x = 235,102.65