Finding the Third Proportional to 139.50 and 344.25

Step by Step Solution

1. Step 1: Write the proportion equation
   139.50 : 344.25 = 344.25 : x
2. Step 2: Convert to fraction form
   139.50/344.25 = 344.25/x
3. Step 3: Cross multiply
   139.50x = 344.25 × 344.25
4. Step 4: Simplify right side
   139.50x = 118,508.06
5. Step 5: Solve for x
   x = 118,508.06/139.50
6. Step 6: Final answer
   x = 849.52