Finding the Third Proportional to 81,472 and 173,696

Step by Step Solution

1. Step 1: Write the proportion equation
   81,472 : 173,696 = 173,696 : x
2. Step 2: Convert to fraction form
   81,472/173,696 = 173,696/x
3. Step 3: Cross multiply
   81,472x = 173,696 × 173,696
4. Step 4: Simplify right side
   81,472x = 30,170,300,416
5. Step 5: Solve for x
   x = 30,170,300,416/81,472
6. Step 6: Final answer
   x = 370,314.96