Finding the Third Proportional to 72,638 and 111,069

Step by Step Solution

1. Step 1: Write the proportion equation
   72,638 : 111,069 = 111,069 : x
2. Step 2: Convert to fraction form
   72,638/111,069 = 111,069/x
3. Step 3: Cross multiply
   72,638x = 111,069 × 111,069
4. Step 4: Simplify right side
   72,638x = 12,336,322,761
5. Step 5: Solve for x
   x = 12,336,322,761/72,638
6. Step 6: Final answer
   x = 169,832.91