Finding the Third Proportional to 167,846 and 256,150

Step by Step Solution

1. Step 1: Write the proportion equation
   167,846 : 256,150 = 256,150 : x
2. Step 2: Convert to fraction form
   167,846/256,150 = 256,150/x
3. Step 3: Cross multiply
   167,846x = 256,150 × 256,150
4. Step 4: Simplify right side
   167,846x = 65,612,822,500
5. Step 5: Solve for x
   x = 65,612,822,500/167,846
6. Step 6: Final answer
   x = 390,910.85