Finding the Third Proportional to 83,204 and 180,632

Step by Step Solution

1. Step 1: Write the proportion equation
   83,204 : 180,632 = 180,632 : x
2. Step 2: Convert to fraction form
   83,204/180,632 = 180,632/x
3. Step 3: Cross multiply
   83,204x = 180,632 × 180,632
4. Step 4: Simplify right side
   83,204x = 32,627,919,424
5. Step 5: Solve for x
   x = 32,627,919,424/83,204
6. Step 6: Final answer
   x = 392,143.64