Finding the Third Proportional to 68,877 and 146,022

Step by Step Solution

1. Step 1: Write the proportion equation
   68,877 : 146,022 = 146,022 : x
2. Step 2: Convert to fraction form
   68,877/146,022 = 146,022/x
3. Step 3: Cross multiply
   68,877x = 146,022 × 146,022
4. Step 4: Simplify right side
   68,877x = 21,322,424,484
5. Step 5: Solve for x
   x = 21,322,424,484/68,877
6. Step 6: Final answer
   x = 309,572.49