Finding the Third Proportional to 83,776 and 182,605

Step by Step Solution

1. Step 1: Write the proportion equation
   83,776 : 182,605 = 182,605 : x
2. Step 2: Convert to fraction form
   83,776/182,605 = 182,605/x
3. Step 3: Cross multiply
   83,776x = 182,605 × 182,605
4. Step 4: Simplify right side
   83,776x = 33,344,586,025
5. Step 5: Solve for x
   x = 33,344,586,025/83,776
6. Step 6: Final answer
   x = 398,020.75