Finding the Third Proportional to 79,670 and 174,892

Step by Step Solution

1. Step 1: Write the proportion equation
   79,670 : 174,892 = 174,892 : x
2. Step 2: Convert to fraction form
   79,670/174,892 = 174,892/x
3. Step 3: Cross multiply
   79,670x = 174,892 × 174,892
4. Step 4: Simplify right side
   79,670x = 30,587,211,664
5. Step 5: Solve for x
   x = 30,587,211,664/79,670
6. Step 6: Final answer
   x = 383,923.83