Finding the Third Proportional to 238.50 and 404.75

Step by Step Solution

1. Step 1: Write the proportion equation
   238.50 : 404.75 = 404.75 : x
2. Step 2: Convert to fraction form
   238.50/404.75 = 404.75/x
3. Step 3: Cross multiply
   238.50x = 404.75 × 404.75
4. Step 4: Simplify right side
   238.50x = 163,822.56
5. Step 5: Solve for x
   x = 163,822.56/238.50
6. Step 6: Final answer
   x = 686.89