Finding the Third Proportional to 106,544 and 229,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,544 : 229,693.50 = 229,693.50 : x
2. Step 2: Convert to fraction form
   106,544/229,693.50 = 229,693.50/x
3. Step 3: Cross multiply
   106,544x = 229,693.50 × 229,693.50
4. Step 4: Simplify right side
   106,544x = 52,759,103,942.25
5. Step 5: Solve for x
   x = 52,759,103,942.25/106,544
6. Step 6: Final answer
   x = 495,186.06