Finding the Third Proportional to 72,674 and 160,876

Step by Step Solution

1. Step 1: Write the proportion equation
   72,674 : 160,876 = 160,876 : x
2. Step 2: Convert to fraction form
   72,674/160,876 = 160,876/x
3. Step 3: Cross multiply
   72,674x = 160,876 × 160,876
4. Step 4: Simplify right side
   72,674x = 25,881,087,376
5. Step 5: Solve for x
   x = 25,881,087,376/72,674
6. Step 6: Final answer
   x = 356,125.81