Finding the Third Proportional to 81,561 and 120,825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,561 : 120,825.50 = 120,825.50 : x
2. Step 2: Convert to fraction form
   81,561/120,825.50 = 120,825.50/x
3. Step 3: Cross multiply
   81,561x = 120,825.50 × 120,825.50
4. Step 4: Simplify right side
   81,561x = 14,598,801,450.25
5. Step 5: Solve for x
   x = 14,598,801,450.25/81,561
6. Step 6: Final answer
   x = 178,992.43