Finding the Third Proportional to 69,760 and 149,096

Step by Step Solution

1. Step 1: Write the proportion equation
   69,760 : 149,096 = 149,096 : x
2. Step 2: Convert to fraction form
   69,760/149,096 = 149,096/x
3. Step 3: Cross multiply
   69,760x = 149,096 × 149,096
4. Step 4: Simplify right side
   69,760x = 22,229,617,216
5. Step 5: Solve for x
   x = 22,229,617,216/69,760
6. Step 6: Final answer
   x = 318,658.50