Finding the Third Proportional to 67,760 and 146,816

Step by Step Solution

1. Step 1: Write the proportion equation
   67,760 : 146,816 = 146,816 : x
2. Step 2: Convert to fraction form
   67,760/146,816 = 146,816/x
3. Step 3: Cross multiply
   67,760x = 146,816 × 146,816
4. Step 4: Simplify right side
   67,760x = 21,554,937,856
5. Step 5: Solve for x
   x = 21,554,937,856/67,760
6. Step 6: Final answer
   x = 318,107.11