Finding the Third Proportional to 139.69 and 296.53

Step by Step Solution

1. Step 1: Write the proportion equation
   139.69 : 296.53 = 296.53 : x
2. Step 2: Convert to fraction form
   139.69/296.53 = 296.53/x
3. Step 3: Cross multiply
   139.69x = 296.53 × 296.53
4. Step 4: Simplify right side
   139.69x = 87,930.78
5. Step 5: Solve for x
   x = 87,930.78/139.69
6. Step 6: Final answer
   x = 629.48