Finding the Third Proportional to 78.50 and 202.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78.50 : 202.50 = 202.50 : x
2. Step 2: Convert to fraction form
   78.50/202.50 = 202.50/x
3. Step 3: Cross multiply
   78.50x = 202.50 × 202.50
4. Step 4: Simplify right side
   78.50x = 41,006.25
5. Step 5: Solve for x
   x = 41,006.25/78.50
6. Step 6: Final answer
   x = 522.37