Finding the Third Proportional to 150,763.50 and 204,750

Step by Step Solution

1. Step 1: Write the proportion equation
   150,763.50 : 204,750 = 204,750 : x
2. Step 2: Convert to fraction form
   150,763.50/204,750 = 204,750/x
3. Step 3: Cross multiply
   150,763.50x = 204,750 × 204,750
4. Step 4: Simplify right side
   150,763.50x = 41,922,562,500
5. Step 5: Solve for x
   x = 41,922,562,500/150,763.50
6. Step 6: Final answer
   x = 278,068.38