Finding the Third Proportional to 181,821 and 395,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   181,821 : 395,686.50 = 395,686.50 : x
2. Step 2: Convert to fraction form
   181,821/395,686.50 = 395,686.50/x
3. Step 3: Cross multiply
   181,821x = 395,686.50 × 395,686.50
4. Step 4: Simplify right side
   181,821x = 156,567,806,282.25
5. Step 5: Solve for x
   x = 156,567,806,282.25/181,821
6. Step 6: Final answer
   x = 861,109.59