Finding the Third Proportional to 49,187 and 106,150

Step by Step Solution

1. Step 1: Write the proportion equation
   49,187 : 106,150 = 106,150 : x
2. Step 2: Convert to fraction form
   49,187/106,150 = 106,150/x
3. Step 3: Cross multiply
   49,187x = 106,150 × 106,150
4. Step 4: Simplify right side
   49,187x = 11,267,822,500
5. Step 5: Solve for x
   x = 11,267,822,500/49,187
6. Step 6: Final answer
   x = 229,081.31