Finding the Third Proportional to 83,770 and 182,314

Step by Step Solution

1. Step 1: Write the proportion equation
   83,770 : 182,314 = 182,314 : x
2. Step 2: Convert to fraction form
   83,770/182,314 = 182,314/x
3. Step 3: Cross multiply
   83,770x = 182,314 × 182,314
4. Step 4: Simplify right side
   83,770x = 33,238,394,596
5. Step 5: Solve for x
   x = 33,238,394,596/83,770
6. Step 6: Final answer
   x = 396,781.60