Finding the Third Proportional to 72,584 and 108,876

Step by Step Solution

1. Step 1: Write the proportion equation
   72,584 : 108,876 = 108,876 : x
2. Step 2: Convert to fraction form
   72,584/108,876 = 108,876/x
3. Step 3: Cross multiply
   72,584x = 108,876 × 108,876
4. Step 4: Simplify right side
   72,584x = 11,853,983,376
5. Step 5: Solve for x
   x = 11,853,983,376/72,584
6. Step 6: Final answer
   x = 163,314