Finding the Third Proportional to 111,952 and 169,008

Step by Step Solution

1. Step 1: Write the proportion equation
   111,952 : 169,008 = 169,008 : x
2. Step 2: Convert to fraction form
   111,952/169,008 = 169,008/x
3. Step 3: Cross multiply
   111,952x = 169,008 × 169,008
4. Step 4: Simplify right side
   111,952x = 28,563,704,064
5. Step 5: Solve for x
   x = 28,563,704,064/111,952
6. Step 6: Final answer
   x = 255,142.42