Finding the Third Proportional to 100 and 238.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100 : 238.50 = 238.50 : x
2. Step 2: Convert to fraction form
   100/238.50 = 238.50/x
3. Step 3: Cross multiply
   100x = 238.50 × 238.50
4. Step 4: Simplify right side
   100x = 56,882.25
5. Step 5: Solve for x
   x = 56,882.25/100
6. Step 6: Final answer
   x = 568.82