Finding the Third Proportional to 83,778 and 182,299.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,778 : 182,299.50 = 182,299.50 : x
2. Step 2: Convert to fraction form
   83,778/182,299.50 = 182,299.50/x
3. Step 3: Cross multiply
   83,778x = 182,299.50 × 182,299.50
4. Step 4: Simplify right side
   83,778x = 33,233,107,700.25
5. Step 5: Solve for x
   x = 33,233,107,700.25/83,778
6. Step 6: Final answer
   x = 396,680.60