Finding the Third Proportional to 83,454 and 173,811

Step by Step Solution

1. Step 1: Write the proportion equation
   83,454 : 173,811 = 173,811 : x
2. Step 2: Convert to fraction form
   83,454/173,811 = 173,811/x
3. Step 3: Cross multiply
   83,454x = 173,811 × 173,811
4. Step 4: Simplify right side
   83,454x = 30,210,263,721
5. Step 5: Solve for x
   x = 30,210,263,721/83,454
6. Step 6: Final answer
   x = 361,998.99