Finding the Third Proportional to 49,876 and 106,665

Step by Step Solution

1. Step 1: Write the proportion equation
   49,876 : 106,665 = 106,665 : x
2. Step 2: Convert to fraction form
   49,876/106,665 = 106,665/x
3. Step 3: Cross multiply
   49,876x = 106,665 × 106,665
4. Step 4: Simplify right side
   49,876x = 11,377,422,225
5. Step 5: Solve for x
   x = 11,377,422,225/49,876
6. Step 6: Final answer
   x = 228,114.17