Finding the Third Proportional to 106,494 and 227,196.75

Step by Step Solution

1. Step 1: Write the proportion equation
   106,494 : 227,196.75 = 227,196.75 : x
2. Step 2: Convert to fraction form
   106,494/227,196.75 = 227,196.75/x
3. Step 3: Cross multiply
   106,494x = 227,196.75 × 227,196.75
4. Step 4: Simplify right side
   106,494x = 51,618,363,210.56
5. Step 5: Solve for x
   x = 51,618,363,210.56/106,494
6. Step 6: Final answer
   x = 484,706.77