Finding the Third Proportional to 71,162 and 152,876

Step by Step Solution

1. Step 1: Write the proportion equation
   71,162 : 152,876 = 152,876 : x
2. Step 2: Convert to fraction form
   71,162/152,876 = 152,876/x
3. Step 3: Cross multiply
   71,162x = 152,876 × 152,876
4. Step 4: Simplify right side
   71,162x = 23,371,071,376
5. Step 5: Solve for x
   x = 23,371,071,376/71,162
6. Step 6: Final answer
   x = 328,420.67