Finding the Third Proportional to 83,923 and 182,066

Step by Step Solution

1. Step 1: Write the proportion equation
   83,923 : 182,066 = 182,066 : x
2. Step 2: Convert to fraction form
   83,923/182,066 = 182,066/x
3. Step 3: Cross multiply
   83,923x = 182,066 × 182,066
4. Step 4: Simplify right side
   83,923x = 33,148,028,356
5. Step 5: Solve for x
   x = 33,148,028,356/83,923
6. Step 6: Final answer
   x = 394,981.45