Finding the Third Proportional to 81,444 and 175,200

Step by Step Solution

1. Step 1: Write the proportion equation
   81,444 : 175,200 = 175,200 : x
2. Step 2: Convert to fraction form
   81,444/175,200 = 175,200/x
3. Step 3: Cross multiply
   81,444x = 175,200 × 175,200
4. Step 4: Simplify right side
   81,444x = 30,695,040,000
5. Step 5: Solve for x
   x = 30,695,040,000/81,444
6. Step 6: Final answer
   x = 376,885.22