Finding the Third Proportional to 238.50 and 431.25

Step by Step Solution

1. Step 1: Write the proportion equation
   238.50 : 431.25 = 431.25 : x
2. Step 2: Convert to fraction form
   238.50/431.25 = 431.25/x
3. Step 3: Cross multiply
   238.50x = 431.25 × 431.25
4. Step 4: Simplify right side
   238.50x = 185,976.56
5. Step 5: Solve for x
   x = 185,976.56/238.50
6. Step 6: Final answer
   x = 779.78