Finding the Third Proportional to 83,224 and 173,243

Step by Step Solution

1. Step 1: Write the proportion equation
   83,224 : 173,243 = 173,243 : x
2. Step 2: Convert to fraction form
   83,224/173,243 = 173,243/x
3. Step 3: Cross multiply
   83,224x = 173,243 × 173,243
4. Step 4: Simplify right side
   83,224x = 30,013,137,049
5. Step 5: Solve for x
   x = 30,013,137,049/83,224
6. Step 6: Final answer
   x = 360,630.79