Finding the Third Proportional to 81,967 and 178,150

Step by Step Solution

1. Step 1: Write the proportion equation
   81,967 : 178,150 = 178,150 : x
2. Step 2: Convert to fraction form
   81,967/178,150 = 178,150/x
3. Step 3: Cross multiply
   81,967x = 178,150 × 178,150
4. Step 4: Simplify right side
   81,967x = 31,737,422,500
5. Step 5: Solve for x
   x = 31,737,422,500/81,967
6. Step 6: Final answer
   x = 387,197.56