Finding the Third Proportional to 83,787 and 182,317.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,787 : 182,317.50 = 182,317.50 : x
2. Step 2: Convert to fraction form
   83,787/182,317.50 = 182,317.50/x
3. Step 3: Cross multiply
   83,787x = 182,317.50 × 182,317.50
4. Step 4: Simplify right side
   83,787x = 33,239,670,806.25
5. Step 5: Solve for x
   x = 33,239,670,806.25/83,787
6. Step 6: Final answer
   x = 396,716.33