Finding the Third Proportional to 152.25 and 211.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152.25 : 211.50 = 211.50 : x
2. Step 2: Convert to fraction form
   152.25/211.50 = 211.50/x
3. Step 3: Cross multiply
   152.25x = 211.50 × 211.50
4. Step 4: Simplify right side
   152.25x = 44,732.25
5. Step 5: Solve for x
   x = 44,732.25/152.25
6. Step 6: Final answer
   x = 293.81