Finding the Third Proportional to 81,930 and 146,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,930 : 146,809.50 = 146,809.50 : x
2. Step 2: Convert to fraction form
   81,930/146,809.50 = 146,809.50/x
3. Step 3: Cross multiply
   81,930x = 146,809.50 × 146,809.50
4. Step 4: Simplify right side
   81,930x = 21,553,029,290.25
5. Step 5: Solve for x
   x = 21,553,029,290.25/81,930
6. Step 6: Final answer
   x = 263,066.39