Finding the Third Proportional to 83,688 and 182,142

Step by Step Solution

1. Step 1: Write the proportion equation
   83,688 : 182,142 = 182,142 : x
2. Step 2: Convert to fraction form
   83,688/182,142 = 182,142/x
3. Step 3: Cross multiply
   83,688x = 182,142 × 182,142
4. Step 4: Simplify right side
   83,688x = 33,175,708,164
5. Step 5: Solve for x
   x = 33,175,708,164/83,688
6. Step 6: Final answer
   x = 396,421.33