Finding the Third Proportional to 81,405 and 140,089.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,405 : 140,089.50 = 140,089.50 : x
2. Step 2: Convert to fraction form
   81,405/140,089.50 = 140,089.50/x
3. Step 3: Cross multiply
   81,405x = 140,089.50 × 140,089.50
4. Step 4: Simplify right side
   81,405x = 19,625,068,010.25
5. Step 5: Solve for x
   x = 19,625,068,010.25/81,405
6. Step 6: Final answer
   x = 241,079.39