Finding the Third Proportional to 83,629 and 180,890

Step by Step Solution

1. Step 1: Write the proportion equation
   83,629 : 180,890 = 180,890 : x
2. Step 2: Convert to fraction form
   83,629/180,890 = 180,890/x
3. Step 3: Cross multiply
   83,629x = 180,890 × 180,890
4. Step 4: Simplify right side
   83,629x = 32,721,192,100
5. Step 5: Solve for x
   x = 32,721,192,100/83,629
6. Step 6: Final answer
   x = 391,266.09