Finding the Third Proportional to 105,654.38 and 229,223.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,654.38 : 229,223.25 = 229,223.25 : x
2. Step 2: Convert to fraction form
   105,654.38/229,223.25 = 229,223.25/x
3. Step 3: Cross multiply
   105,654.38x = 229,223.25 × 229,223.25
4. Step 4: Simplify right side
   105,654.38x = 52,543,298,340.56
5. Step 5: Solve for x
   x = 52,543,298,340.56/105,654.38
6. Step 6: Final answer
   x = 497,313.04