Finding the Third Proportional to 83,706 and 180,690

Step by Step Solution

1. Step 1: Write the proportion equation
   83,706 : 180,690 = 180,690 : x
2. Step 2: Convert to fraction form
   83,706/180,690 = 180,690/x
3. Step 3: Cross multiply
   83,706x = 180,690 × 180,690
4. Step 4: Simplify right side
   83,706x = 32,648,876,100
5. Step 5: Solve for x
   x = 32,648,876,100/83,706
6. Step 6: Final answer
   x = 390,042.24