Finding the Third Proportional to 81,878 and 146,908

Step by Step Solution

1. Step 1: Write the proportion equation
   81,878 : 146,908 = 146,908 : x
2. Step 2: Convert to fraction form
   81,878/146,908 = 146,908/x
3. Step 3: Cross multiply
   81,878x = 146,908 × 146,908
4. Step 4: Simplify right side
   81,878x = 21,581,960,464
5. Step 5: Solve for x
   x = 21,581,960,464/81,878
6. Step 6: Final answer
   x = 263,586.81