Finding the Third Proportional to 82,969 and 182,066

Step by Step Solution

1. Step 1: Write the proportion equation
   82,969 : 182,066 = 182,066 : x
2. Step 2: Convert to fraction form
   82,969/182,066 = 182,066/x
3. Step 3: Cross multiply
   82,969x = 182,066 × 182,066
4. Step 4: Simplify right side
   82,969x = 33,148,028,356
5. Step 5: Solve for x
   x = 33,148,028,356/82,969
6. Step 6: Final answer
   x = 399,523.06