Finding the Third Proportional to 80,444 and 175,160

Step by Step Solution

1. Step 1: Write the proportion equation
   80,444 : 175,160 = 175,160 : x
2. Step 2: Convert to fraction form
   80,444/175,160 = 175,160/x
3. Step 3: Cross multiply
   80,444x = 175,160 × 175,160
4. Step 4: Simplify right side
   80,444x = 30,681,025,600
5. Step 5: Solve for x
   x = 30,681,025,600/80,444
6. Step 6: Final answer
   x = 381,396.07