Finding the Third Proportional to 80,494 and 175,946

Step by Step Solution

1. Step 1: Write the proportion equation
   80,494 : 175,946 = 175,946 : x
2. Step 2: Convert to fraction form
   80,494/175,946 = 175,946/x
3. Step 3: Cross multiply
   80,494x = 175,946 × 175,946
4. Step 4: Simplify right side
   80,494x = 30,956,994,916
5. Step 5: Solve for x
   x = 30,956,994,916/80,494
6. Step 6: Final answer
   x = 384,587.61