Finding the Third Proportional to 79,488 and 171,164

Step by Step Solution

1. Step 1: Write the proportion equation
   79,488 : 171,164 = 171,164 : x
2. Step 2: Convert to fraction form
   79,488/171,164 = 171,164/x
3. Step 3: Cross multiply
   79,488x = 171,164 × 171,164
4. Step 4: Simplify right side
   79,488x = 29,297,114,896
5. Step 5: Solve for x
   x = 29,297,114,896/79,488
6. Step 6: Final answer
   x = 368,572.80