Finding the Third Proportional to 72,643 and 111,077

Step by Step Solution

1. Step 1: Write the proportion equation
   72,643 : 111,077 = 111,077 : x
2. Step 2: Convert to fraction form
   72,643/111,077 = 111,077/x
3. Step 3: Cross multiply
   72,643x = 111,077 × 111,077
4. Step 4: Simplify right side
   72,643x = 12,338,099,929
5. Step 5: Solve for x
   x = 12,338,099,929/72,643
6. Step 6: Final answer
   x = 169,845.68