Finding the Third Proportional to 79,632 and 171,692

Step by Step Solution

1. Step 1: Write the proportion equation
   79,632 : 171,692 = 171,692 : x
2. Step 2: Convert to fraction form
   79,632/171,692 = 171,692/x
3. Step 3: Cross multiply
   79,632x = 171,692 × 171,692
4. Step 4: Simplify right side
   79,632x = 29,478,142,864
5. Step 5: Solve for x
   x = 29,478,142,864/79,632
6. Step 6: Final answer
   x = 370,179.61