Finding the Third Proportional to 83,916 and 173,493

Step by Step Solution

1. Step 1: Write the proportion equation
   83,916 : 173,493 = 173,493 : x
2. Step 2: Convert to fraction form
   83,916/173,493 = 173,493/x
3. Step 3: Cross multiply
   83,916x = 173,493 × 173,493
4. Step 4: Simplify right side
   83,916x = 30,099,821,049
5. Step 5: Solve for x
   x = 30,099,821,049/83,916
6. Step 6: Final answer
   x = 358,689.89