Finding the Third Proportional to 178,569 and 270,157.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,569 : 270,157.50 = 270,157.50 : x
2. Step 2: Convert to fraction form
   178,569/270,157.50 = 270,157.50/x
3. Step 3: Cross multiply
   178,569x = 270,157.50 × 270,157.50
4. Step 4: Simplify right side
   178,569x = 72,985,074,806.25
5. Step 5: Solve for x
   x = 72,985,074,806.25/178,569
6. Step 6: Final answer
   x = 408,721.98