Finding the Third Proportional to 83,792 and 182,360

Step by Step Solution

1. Step 1: Write the proportion equation
   83,792 : 182,360 = 182,360 : x
2. Step 2: Convert to fraction form
   83,792/182,360 = 182,360/x
3. Step 3: Cross multiply
   83,792x = 182,360 × 182,360
4. Step 4: Simplify right side
   83,792x = 33,255,169,600
5. Step 5: Solve for x
   x = 33,255,169,600/83,792
6. Step 6: Final answer
   x = 396,877.62