Finding the Third Proportional to 152.50 and 228.25

Step by Step Solution

1. Step 1: Write the proportion equation
   152.50 : 228.25 = 228.25 : x
2. Step 2: Convert to fraction form
   152.50/228.25 = 228.25/x
3. Step 3: Cross multiply
   152.50x = 228.25 × 228.25
4. Step 4: Simplify right side
   152.50x = 52,098.06
5. Step 5: Solve for x
   x = 52,098.06/152.50
6. Step 6: Final answer
   x = 341.63