Finding the Third Proportional to 83,758 and 182,290

Step by Step Solution

1. Step 1: Write the proportion equation
   83,758 : 182,290 = 182,290 : x
2. Step 2: Convert to fraction form
   83,758/182,290 = 182,290/x
3. Step 3: Cross multiply
   83,758x = 182,290 × 182,290
4. Step 4: Simplify right side
   83,758x = 33,229,644,100
5. Step 5: Solve for x
   x = 33,229,644,100/83,758
6. Step 6: Final answer
   x = 396,733.97