Finding the Third Proportional to 105,649.50 and 229,212

Step by Step Solution

1. Step 1: Write the proportion equation
   105,649.50 : 229,212 = 229,212 : x
2. Step 2: Convert to fraction form
   105,649.50/229,212 = 229,212/x
3. Step 3: Cross multiply
   105,649.50x = 229,212 × 229,212
4. Step 4: Simplify right side
   105,649.50x = 52,538,140,944
5. Step 5: Solve for x
   x = 52,538,140,944/105,649.50
6. Step 6: Final answer
   x = 497,287.17