Finding the Third Proportional to 103,845 and 226,908.75

Step by Step Solution

1. Step 1: Write the proportion equation
   103,845 : 226,908.75 = 226,908.75 : x
2. Step 2: Convert to fraction form
   103,845/226,908.75 = 226,908.75/x
3. Step 3: Cross multiply
   103,845x = 226,908.75 × 226,908.75
4. Step 4: Simplify right side
   103,845x = 51,487,580,826.56
5. Step 5: Solve for x
   x = 51,487,580,826.56/103,845
6. Step 6: Final answer
   x = 495,811.84