Finding the Third Proportional to 83,571 and 178,806

Step by Step Solution

1. Step 1: Write the proportion equation
   83,571 : 178,806 = 178,806 : x
2. Step 2: Convert to fraction form
   83,571/178,806 = 178,806/x
3. Step 3: Cross multiply
   83,571x = 178,806 × 178,806
4. Step 4: Simplify right side
   83,571x = 31,971,585,636
5. Step 5: Solve for x
   x = 31,971,585,636/83,571
6. Step 6: Final answer
   x = 382,567.94