Finding the Third Proportional to 178,414.50 and 260,922

Step by Step Solution

1. Step 1: Write the proportion equation
   178,414.50 : 260,922 = 260,922 : x
2. Step 2: Convert to fraction form
   178,414.50/260,922 = 260,922/x
3. Step 3: Cross multiply
   178,414.50x = 260,922 × 260,922
4. Step 4: Simplify right side
   178,414.50x = 68,080,290,084
5. Step 5: Solve for x
   x = 68,080,290,084/178,414.50
6. Step 6: Final answer
   x = 381,584.96