Finding the Third Proportional to 83,303.25 and 181,396.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,303.25 : 181,396.50 = 181,396.50 : x
2. Step 2: Convert to fraction form
   83,303.25/181,396.50 = 181,396.50/x
3. Step 3: Cross multiply
   83,303.25x = 181,396.50 × 181,396.50
4. Step 4: Simplify right side
   83,303.25x = 32,904,690,212.25
5. Step 5: Solve for x
   x = 32,904,690,212.25/83,303.25
6. Step 6: Final answer
   x = 394,998.88