Finding the Third Proportional to 49,536 and 108,126

Step by Step Solution

1. Step 1: Write the proportion equation
   49,536 : 108,126 = 108,126 : x
2. Step 2: Convert to fraction form
   49,536/108,126 = 108,126/x
3. Step 3: Cross multiply
   49,536x = 108,126 × 108,126
4. Step 4: Simplify right side
   49,536x = 11,691,231,876
5. Step 5: Solve for x
   x = 11,691,231,876/49,536
6. Step 6: Final answer
   x = 236,014.86