Finding the Third Proportional to 93.80 and 139.72

Step by Step Solution

1. Step 1: Write the proportion equation
   93.80 : 139.72 = 139.72 : x
2. Step 2: Convert to fraction form
   93.80/139.72 = 139.72/x
3. Step 3: Cross multiply
   93.80x = 139.72 × 139.72
4. Step 4: Simplify right side
   93.80x = 19,521.33
5. Step 5: Solve for x
   x = 19,521.33/93.80
6. Step 6: Final answer
   x = 208.12