Finding the Third Proportional to 81,900 and 146,952

Step by Step Solution

1. Step 1: Write the proportion equation
   81,900 : 146,952 = 146,952 : x
2. Step 2: Convert to fraction form
   81,900/146,952 = 146,952/x
3. Step 3: Cross multiply
   81,900x = 146,952 × 146,952
4. Step 4: Simplify right side
   81,900x = 21,594,890,304
5. Step 5: Solve for x
   x = 21,594,890,304/81,900
6. Step 6: Final answer
   x = 263,673.87