Finding the Third Proportional to 80,392 and 175,066

Step by Step Solution

1. Step 1: Write the proportion equation
   80,392 : 175,066 = 175,066 : x
2. Step 2: Convert to fraction form
   80,392/175,066 = 175,066/x
3. Step 3: Cross multiply
   80,392x = 175,066 × 175,066
4. Step 4: Simplify right side
   80,392x = 30,648,104,356
5. Step 5: Solve for x
   x = 30,648,104,356/80,392
6. Step 6: Final answer
   x = 381,233.26