Finding the Third Proportional to 83,826 and 181,847.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,826 : 181,847.25 = 181,847.25 : x
2. Step 2: Convert to fraction form
   83,826/181,847.25 = 181,847.25/x
3. Step 3: Cross multiply
   83,826x = 181,847.25 × 181,847.25
4. Step 4: Simplify right side
   83,826x = 33,068,422,332.56
5. Step 5: Solve for x
   x = 33,068,422,332.56/83,826
6. Step 6: Final answer
   x = 394,488.85