Finding the Third Proportional to 139.38 and 181.94

Step by Step Solution

1. Step 1: Write the proportion equation
   139.38 : 181.94 = 181.94 : x
2. Step 2: Convert to fraction form
   139.38/181.94 = 181.94/x
3. Step 3: Cross multiply
   139.38x = 181.94 × 181.94
4. Step 4: Simplify right side
   139.38x = 33,101.25
5. Step 5: Solve for x
   x = 33,101.25/139.38
6. Step 6: Final answer
   x = 237.50