Finding the Third Proportional to 78,876 and 173,061

Step by Step Solution

1. Step 1: Write the proportion equation
   78,876 : 173,061 = 173,061 : x
2. Step 2: Convert to fraction form
   78,876/173,061 = 173,061/x
3. Step 3: Cross multiply
   78,876x = 173,061 × 173,061
4. Step 4: Simplify right side
   78,876x = 29,950,109,721
5. Step 5: Solve for x
   x = 29,950,109,721/78,876
6. Step 6: Final answer
   x = 379,711.32