Finding the Third Proportional to 83,776.50 and 182,325.38

Step by Step Solution

1. Step 1: Write the proportion equation
   83,776.50 : 182,325.38 = 182,325.38 : x
2. Step 2: Convert to fraction form
   83,776.50/182,325.38 = 182,325.38/x
3. Step 3: Cross multiply
   83,776.50x = 182,325.38 × 182,325.38
4. Step 4: Simplify right side
   83,776.50x = 33,242,542,368.89
5. Step 5: Solve for x
   x = 33,242,542,368.89/83,776.50
6. Step 6: Final answer
   x = 396,800.32