Finding the Third Proportional to 83,727 and 182,250

Step by Step Solution

1. Step 1: Write the proportion equation
   83,727 : 182,250 = 182,250 : x
2. Step 2: Convert to fraction form
   83,727/182,250 = 182,250/x
3. Step 3: Cross multiply
   83,727x = 182,250 × 182,250
4. Step 4: Simplify right side
   83,727x = 33,215,062,500
5. Step 5: Solve for x
   x = 33,215,062,500/83,727
6. Step 6: Final answer
   x = 396,706.71