Finding the Third Proportional to 238.50 and 426.25

Step by Step Solution

1. Step 1: Write the proportion equation
   238.50 : 426.25 = 426.25 : x
2. Step 2: Convert to fraction form
   238.50/426.25 = 426.25/x
3. Step 3: Cross multiply
   238.50x = 426.25 × 426.25
4. Step 4: Simplify right side
   238.50x = 181,689.06
5. Step 5: Solve for x
   x = 181,689.06/238.50
6. Step 6: Final answer
   x = 761.80