Finding the Third Proportional to 253.50 and 385.25

Step by Step Solution

1. Step 1: Write the proportion equation
   253.50 : 385.25 = 385.25 : x
2. Step 2: Convert to fraction form
   253.50/385.25 = 385.25/x
3. Step 3: Cross multiply
   253.50x = 385.25 × 385.25
4. Step 4: Simplify right side
   253.50x = 148,417.56
5. Step 5: Solve for x
   x = 148,417.56/253.50
6. Step 6: Final answer
   x = 585.47