Finding the Third Proportional to 72,564 and 111,008

Step by Step Solution

1. Step 1: Write the proportion equation
   72,564 : 111,008 = 111,008 : x
2. Step 2: Convert to fraction form
   72,564/111,008 = 111,008/x
3. Step 3: Cross multiply
   72,564x = 111,008 × 111,008
4. Step 4: Simplify right side
   72,564x = 12,322,776,064
5. Step 5: Solve for x
   x = 12,322,776,064/72,564
6. Step 6: Final answer
   x = 169,819.42