Finding the Third Proportional to 178,728.50 and 262,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,728.50 : 262,078.50 = 262,078.50 : x
2. Step 2: Convert to fraction form
   178,728.50/262,078.50 = 262,078.50/x
3. Step 3: Cross multiply
   178,728.50x = 262,078.50 × 262,078.50
4. Step 4: Simplify right side
   178,728.50x = 68,685,140,162.25
5. Step 5: Solve for x
   x = 68,685,140,162.25/178,728.50
6. Step 6: Final answer
   x = 384,298.76