Finding the Third Proportional to 139.50 and 206.63

Step by Step Solution

1. Step 1: Write the proportion equation
   139.50 : 206.63 = 206.63 : x
2. Step 2: Convert to fraction form
   139.50/206.63 = 206.63/x
3. Step 3: Cross multiply
   139.50x = 206.63 × 206.63
4. Step 4: Simplify right side
   139.50x = 42,693.89
5. Step 5: Solve for x
   x = 42,693.89/139.50
6. Step 6: Final answer
   x = 306.05