Finding the Third Proportional to 78,876 and 172,308

Step by Step Solution

1. Step 1: Write the proportion equation
   78,876 : 172,308 = 172,308 : x
2. Step 2: Convert to fraction form
   78,876/172,308 = 172,308/x
3. Step 3: Cross multiply
   78,876x = 172,308 × 172,308
4. Step 4: Simplify right side
   78,876x = 29,690,046,864
5. Step 5: Solve for x
   x = 29,690,046,864/78,876
6. Step 6: Final answer
   x = 376,414.21