Finding the Third Proportional to 83,074.13 and 182,231.81

Step by Step Solution

1. Step 1: Write the proportion equation
   83,074.13 : 182,231.81 = 182,231.81 : x
2. Step 2: Convert to fraction form
   83,074.13/182,231.81 = 182,231.81/x
3. Step 3: Cross multiply
   83,074.13x = 182,231.81 × 182,231.81
4. Step 4: Simplify right side
   83,074.13x = 33,208,433,487.04
5. Step 5: Solve for x
   x = 33,208,433,487.04/83,074.13
6. Step 6: Final answer
   x = 399,744.61