Finding the Third Proportional to 83,777 and 182,098

Step by Step Solution

1. Step 1: Write the proportion equation
   83,777 : 182,098 = 182,098 : x
2. Step 2: Convert to fraction form
   83,777/182,098 = 182,098/x
3. Step 3: Cross multiply
   83,777x = 182,098 × 182,098
4. Step 4: Simplify right side
   83,777x = 33,159,681,604
5. Step 5: Solve for x
   x = 33,159,681,604/83,777
6. Step 6: Final answer
   x = 395,808.89