Finding the Third Proportional to 86,544 and 181,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,544 : 181,822.50 = 181,822.50 : x
2. Step 2: Convert to fraction form
   86,544/181,822.50 = 181,822.50/x
3. Step 3: Cross multiply
   86,544x = 181,822.50 × 181,822.50
4. Step 4: Simplify right side
   86,544x = 33,059,421,506.25
5. Step 5: Solve for x
   x = 33,059,421,506.25/86,544
6. Step 6: Final answer
   x = 381,995.53