Finding the Third Proportional to 83,634 and 180,390

Step by Step Solution

1. Step 1: Write the proportion equation
   83,634 : 180,390 = 180,390 : x
2. Step 2: Convert to fraction form
   83,634/180,390 = 180,390/x
3. Step 3: Cross multiply
   83,634x = 180,390 × 180,390
4. Step 4: Simplify right side
   83,634x = 32,540,552,100
5. Step 5: Solve for x
   x = 32,540,552,100/83,634
6. Step 6: Final answer
   x = 389,082.81