Finding the Third Proportional to 152,589 and 332,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,589 : 332,290.50 = 332,290.50 : x
2. Step 2: Convert to fraction form
   152,589/332,290.50 = 332,290.50/x
3. Step 3: Cross multiply
   152,589x = 332,290.50 × 332,290.50
4. Step 4: Simplify right side
   152,589x = 110,416,976,390.25
5. Step 5: Solve for x
   x = 110,416,976,390.25/152,589
6. Step 6: Final answer
   x = 723,623.44