Finding the Third Proportional to 106,434 and 228,359.25

Step by Step Solution

1. Step 1: Write the proportion equation
   106,434 : 228,359.25 = 228,359.25 : x
2. Step 2: Convert to fraction form
   106,434/228,359.25 = 228,359.25/x
3. Step 3: Cross multiply
   106,434x = 228,359.25 × 228,359.25
4. Step 4: Simplify right side
   106,434x = 52,147,947,060.56
5. Step 5: Solve for x
   x = 52,147,947,060.56/106,434
6. Step 6: Final answer
   x = 489,955.72