Finding the Third Proportional to 105,132 and 229,272

Step by Step Solution

1. Step 1: Write the proportion equation
   105,132 : 229,272 = 229,272 : x
2. Step 2: Convert to fraction form
   105,132/229,272 = 229,272/x
3. Step 3: Cross multiply
   105,132x = 229,272 × 229,272
4. Step 4: Simplify right side
   105,132x = 52,565,649,984
5. Step 5: Solve for x
   x = 52,565,649,984/105,132
6. Step 6: Final answer
   x = 499,996.67