Finding the Third Proportional to 178,411.50 and 260,918

Step by Step Solution

1. Step 1: Write the proportion equation
   178,411.50 : 260,918 = 260,918 : x
2. Step 2: Convert to fraction form
   178,411.50/260,918 = 260,918/x
3. Step 3: Cross multiply
   178,411.50x = 260,918 × 260,918
4. Step 4: Simplify right side
   178,411.50x = 68,078,202,724
5. Step 5: Solve for x
   x = 68,078,202,724/178,411.50
6. Step 6: Final answer
   x = 381,579.68