Finding the Third Proportional to 83,589 and 182,412

Step by Step Solution

1. Step 1: Write the proportion equation
   83,589 : 182,412 = 182,412 : x
2. Step 2: Convert to fraction form
   83,589/182,412 = 182,412/x
3. Step 3: Cross multiply
   83,589x = 182,412 × 182,412
4. Step 4: Simplify right side
   83,589x = 33,274,137,744
5. Step 5: Solve for x
   x = 33,274,137,744/83,589
6. Step 6: Final answer
   x = 398,068.38