Finding the Third Proportional to 78,672 and 171,166

Step by Step Solution

1. Step 1: Write the proportion equation
   78,672 : 171,166 = 171,166 : x
2. Step 2: Convert to fraction form
   78,672/171,166 = 171,166/x
3. Step 3: Cross multiply
   78,672x = 171,166 × 171,166
4. Step 4: Simplify right side
   78,672x = 29,297,799,556
5. Step 5: Solve for x
   x = 29,297,799,556/78,672
6. Step 6: Final answer
   x = 372,404.41