Finding the Third Proportional to 86,089.50 and 182,405.25

Step by Step Solution

1. Step 1: Write the proportion equation
   86,089.50 : 182,405.25 = 182,405.25 : x
2. Step 2: Convert to fraction form
   86,089.50/182,405.25 = 182,405.25/x
3. Step 3: Cross multiply
   86,089.50x = 182,405.25 × 182,405.25
4. Step 4: Simplify right side
   86,089.50x = 33,271,675,227.56
5. Step 5: Solve for x
   x = 33,271,675,227.56/86,089.50
6. Step 6: Final answer
   x = 386,477.74