Finding the Third Proportional to 83,565 and 182,374

Step by Step Solution

1. Step 1: Write the proportion equation
   83,565 : 182,374 = 182,374 : x
2. Step 2: Convert to fraction form
   83,565/182,374 = 182,374/x
3. Step 3: Cross multiply
   83,565x = 182,374 × 182,374
4. Step 4: Simplify right side
   83,565x = 33,260,275,876
5. Step 5: Solve for x
   x = 33,260,275,876/83,565
6. Step 6: Final answer
   x = 398,016.82