Finding the Third Proportional to 105,952 and 160,008

Step by Step Solution

1. Step 1: Write the proportion equation
   105,952 : 160,008 = 160,008 : x
2. Step 2: Convert to fraction form
   105,952/160,008 = 160,008/x
3. Step 3: Cross multiply
   105,952x = 160,008 × 160,008
4. Step 4: Simplify right side
   105,952x = 25,602,560,064
5. Step 5: Solve for x
   x = 25,602,560,064/105,952
6. Step 6: Final answer
   x = 241,643.01