Finding the Third Proportional to 83,630 and 180,892

Step by Step Solution

1. Step 1: Write the proportion equation
   83,630 : 180,892 = 180,892 : x
2. Step 2: Convert to fraction form
   83,630/180,892 = 180,892/x
3. Step 3: Cross multiply
   83,630x = 180,892 × 180,892
4. Step 4: Simplify right side
   83,630x = 32,721,915,664
5. Step 5: Solve for x
   x = 32,721,915,664/83,630
6. Step 6: Final answer
   x = 391,270.07