Finding the Third Proportional to 83,778 and 182,100

Step by Step Solution

1. Step 1: Write the proportion equation
   83,778 : 182,100 = 182,100 : x
2. Step 2: Convert to fraction form
   83,778/182,100 = 182,100/x
3. Step 3: Cross multiply
   83,778x = 182,100 × 182,100
4. Step 4: Simplify right side
   83,778x = 33,160,410,000
5. Step 5: Solve for x
   x = 33,160,410,000/83,778
6. Step 6: Final answer
   x = 395,812.86