Finding the Third Proportional to 202.50 and 427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   202.50 : 427.50 = 427.50 : x
2. Step 2: Convert to fraction form
   202.50/427.50 = 427.50/x
3. Step 3: Cross multiply
   202.50x = 427.50 × 427.50
4. Step 4: Simplify right side
   202.50x = 182,756.25
5. Step 5: Solve for x
   x = 182,756.25/202.50
6. Step 6: Final answer
   x = 902.50