Finding the Third Proportional to 81,856 and 175,328

Step by Step Solution

1. Step 1: Write the proportion equation
   81,856 : 175,328 = 175,328 : x
2. Step 2: Convert to fraction form
   81,856/175,328 = 175,328/x
3. Step 3: Cross multiply
   81,856x = 175,328 × 175,328
4. Step 4: Simplify right side
   81,856x = 30,739,907,584
5. Step 5: Solve for x
   x = 30,739,907,584/81,856
6. Step 6: Final answer
   x = 375,536.40