Finding the Third Proportional to 78,876 and 171,059

Step by Step Solution

1. Step 1: Write the proportion equation
   78,876 : 171,059 = 171,059 : x
2. Step 2: Convert to fraction form
   78,876/171,059 = 171,059/x
3. Step 3: Cross multiply
   78,876x = 171,059 × 171,059
4. Step 4: Simplify right side
   78,876x = 29,261,181,481
5. Step 5: Solve for x
   x = 29,261,181,481/78,876
6. Step 6: Final answer
   x = 370,977.00