Finding the Third Proportional to 81,532 and 166,520

Step by Step Solution

1. Step 1: Write the proportion equation
   81,532 : 166,520 = 166,520 : x
2. Step 2: Convert to fraction form
   81,532/166,520 = 166,520/x
3. Step 3: Cross multiply
   81,532x = 166,520 × 166,520
4. Step 4: Simplify right side
   81,532x = 27,728,910,400
5. Step 5: Solve for x
   x = 27,728,910,400/81,532
6. Step 6: Final answer
   x = 340,098.49