Finding the Third Proportional to 84,066 and 182,820

Step by Step Solution

1. Step 1: Write the proportion equation
   84,066 : 182,820 = 182,820 : x
2. Step 2: Convert to fraction form
   84,066/182,820 = 182,820/x
3. Step 3: Cross multiply
   84,066x = 182,820 × 182,820
4. Step 4: Simplify right side
   84,066x = 33,423,152,400
5. Step 5: Solve for x
   x = 33,423,152,400/84,066
6. Step 6: Final answer
   x = 397,582.29