Finding the Third Proportional to 152.50 and 335.25

Step by Step Solution

1. Step 1: Write the proportion equation
   152.50 : 335.25 = 335.25 : x
2. Step 2: Convert to fraction form
   152.50/335.25 = 335.25/x
3. Step 3: Cross multiply
   152.50x = 335.25 × 335.25
4. Step 4: Simplify right side
   152.50x = 112,392.56
5. Step 5: Solve for x
   x = 112,392.56/152.50
6. Step 6: Final answer
   x = 737.00