Finding the Third Proportional to 72,596 and 108,894

Step by Step Solution

1. Step 1: Write the proportion equation
   72,596 : 108,894 = 108,894 : x
2. Step 2: Convert to fraction form
   72,596/108,894 = 108,894/x
3. Step 3: Cross multiply
   72,596x = 108,894 × 108,894
4. Step 4: Simplify right side
   72,596x = 11,857,903,236
5. Step 5: Solve for x
   x = 11,857,903,236/72,596
6. Step 6: Final answer
   x = 163,341