Finding the Third Proportional to 103,624 and 160,008

Step by Step Solution

1. Step 1: Write the proportion equation
   103,624 : 160,008 = 160,008 : x
2. Step 2: Convert to fraction form
   103,624/160,008 = 160,008/x
3. Step 3: Cross multiply
   103,624x = 160,008 × 160,008
4. Step 4: Simplify right side
   103,624x = 25,602,560,064
5. Step 5: Solve for x
   x = 25,602,560,064/103,624
6. Step 6: Final answer
   x = 247,071.72