Finding the Third Proportional to 107,586 and 229,996

Step by Step Solution

1. Step 1: Write the proportion equation
   107,586 : 229,996 = 229,996 : x
2. Step 2: Convert to fraction form
   107,586/229,996 = 229,996/x
3. Step 3: Cross multiply
   107,586x = 229,996 × 229,996
4. Step 4: Simplify right side
   107,586x = 52,898,160,016
5. Step 5: Solve for x
   x = 52,898,160,016/107,586
6. Step 6: Final answer
   x = 491,682.56