Finding the Third Proportional to 105,649.31 and 229,212.28

Step by Step Solution

1. Step 1: Write the proportion equation
   105,649.31 : 229,212.28 = 229,212.28 : x
2. Step 2: Convert to fraction form
   105,649.31/229,212.28 = 229,212.28/x
3. Step 3: Cross multiply
   105,649.31x = 229,212.28 × 229,212.28
4. Step 4: Simplify right side
   105,649.31x = 52,538,269,875.83
5. Step 5: Solve for x
   x = 52,538,269,875.83/105,649.31
6. Step 6: Final answer
   x = 497,289.27