Finding the Third Proportional to 81,468 and 173,688

Step by Step Solution

1. Step 1: Write the proportion equation
   81,468 : 173,688 = 173,688 : x
2. Step 2: Convert to fraction form
   81,468/173,688 = 173,688/x
3. Step 3: Cross multiply
   81,468x = 173,688 × 173,688
4. Step 4: Simplify right side
   81,468x = 30,167,521,344
5. Step 5: Solve for x
   x = 30,167,521,344/81,468
6. Step 6: Final answer
   x = 370,299.03