Finding the Third Proportional to 202.50 and 294.89

Step by Step Solution

1. Step 1: Write the proportion equation
   202.50 : 294.89 = 294.89 : x
2. Step 2: Convert to fraction form
   202.50/294.89 = 294.89/x
3. Step 3: Cross multiply
   202.50x = 294.89 × 294.89
4. Step 4: Simplify right side
   202.50x = 86,960.48
5. Step 5: Solve for x
   x = 86,960.48/202.50
6. Step 6: Final answer
   x = 429.43