Finding the Third Proportional to 139.75 and 293.38

Step by Step Solution

1. Step 1: Write the proportion equation
   139.75 : 293.38 = 293.38 : x
2. Step 2: Convert to fraction form
   139.75/293.38 = 293.38/x
3. Step 3: Cross multiply
   139.75x = 293.38 × 293.38
4. Step 4: Simplify right side
   139.75x = 86,068.89
5. Step 5: Solve for x
   x = 86,068.89/139.75
6. Step 6: Final answer
   x = 615.88