Finding the Third Proportional to 106,866 and 229,452.75

Step by Step Solution

1. Step 1: Write the proportion equation
   106,866 : 229,452.75 = 229,452.75 : x
2. Step 2: Convert to fraction form
   106,866/229,452.75 = 229,452.75/x
3. Step 3: Cross multiply
   106,866x = 229,452.75 × 229,452.75
4. Step 4: Simplify right side
   106,866x = 52,648,564,482.56
5. Step 5: Solve for x
   x = 52,648,564,482.56/106,866
6. Step 6: Final answer
   x = 492,659.63