Finding the Third Proportional to 75.38 and 139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75.38 : 139.50 = 139.50 : x
2. Step 2: Convert to fraction form
   75.38/139.50 = 139.50/x
3. Step 3: Cross multiply
   75.38x = 139.50 × 139.50
4. Step 4: Simplify right side
   75.38x = 19,460.25
5. Step 5: Solve for x
   x = 19,460.25/75.38
6. Step 6: Final answer
   x = 258.18