Finding the Third Proportional to 80,967 and 178,002

Step by Step Solution

1. Step 1: Write the proportion equation
   80,967 : 178,002 = 178,002 : x
2. Step 2: Convert to fraction form
   80,967/178,002 = 178,002/x
3. Step 3: Cross multiply
   80,967x = 178,002 × 178,002
4. Step 4: Simplify right side
   80,967x = 31,684,712,004
5. Step 5: Solve for x
   x = 31,684,712,004/80,967
6. Step 6: Final answer
   x = 391,328.71