Finding the Third Proportional to 83,554 and 173,994

Step by Step Solution

1. Step 1: Write the proportion equation
   83,554 : 173,994 = 173,994 : x
2. Step 2: Convert to fraction form
   83,554/173,994 = 173,994/x
3. Step 3: Cross multiply
   83,554x = 173,994 × 173,994
4. Step 4: Simplify right side
   83,554x = 30,273,912,036
5. Step 5: Solve for x
   x = 30,273,912,036/83,554
6. Step 6: Final answer
   x = 362,327.50