Finding the Third Proportional to 103,624 and 160,016

Step by Step Solution

1. Step 1: Write the proportion equation
   103,624 : 160,016 = 160,016 : x
2. Step 2: Convert to fraction form
   103,624/160,016 = 160,016/x
3. Step 3: Cross multiply
   103,624x = 160,016 × 160,016
4. Step 4: Simplify right side
   103,624x = 25,605,120,256
5. Step 5: Solve for x
   x = 25,605,120,256/103,624
6. Step 6: Final answer
   x = 247,096.43