Finding the Third Proportional to 81,909 and 146,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,909 : 146,767.50 = 146,767.50 : x
2. Step 2: Convert to fraction form
   81,909/146,767.50 = 146,767.50/x
3. Step 3: Cross multiply
   81,909x = 146,767.50 × 146,767.50
4. Step 4: Simplify right side
   81,909x = 21,540,699,056.25
5. Step 5: Solve for x
   x = 21,540,699,056.25/81,909
6. Step 6: Final answer
   x = 262,983.30