Finding the Third Proportional to 142.50 and 298.13

Step by Step Solution

1. Step 1: Write the proportion equation
   142.50 : 298.13 = 298.13 : x
2. Step 2: Convert to fraction form
   142.50/298.13 = 298.13/x
3. Step 3: Cross multiply
   142.50x = 298.13 × 298.13
4. Step 4: Simplify right side
   142.50x = 88,878.52
5. Step 5: Solve for x
   x = 88,878.52/142.50
6. Step 6: Final answer
   x = 623.71