Finding the Third Proportional to 80,990 and 178,088

Step by Step Solution

1. Step 1: Write the proportion equation
   80,990 : 178,088 = 178,088 : x
2. Step 2: Convert to fraction form
   80,990/178,088 = 178,088/x
3. Step 3: Cross multiply
   80,990x = 178,088 × 178,088
4. Step 4: Simplify right side
   80,990x = 31,715,335,744
5. Step 5: Solve for x
   x = 31,715,335,744/80,990
6. Step 6: Final answer
   x = 391,595.70