Finding the Third Proportional to 79,640 and 174,050

Step by Step Solution

1. Step 1: Write the proportion equation
   79,640 : 174,050 = 174,050 : x
2. Step 2: Convert to fraction form
   79,640/174,050 = 174,050/x
3. Step 3: Cross multiply
   79,640x = 174,050 × 174,050
4. Step 4: Simplify right side
   79,640x = 30,293,402,500
5. Step 5: Solve for x
   x = 30,293,402,500/79,640
6. Step 6: Final answer
   x = 380,379.24