Finding the Third Proportional to 78,726 and 173,004

Step by Step Solution

1. Step 1: Write the proportion equation
   78,726 : 173,004 = 173,004 : x
2. Step 2: Convert to fraction form
   78,726/173,004 = 173,004/x
3. Step 3: Cross multiply
   78,726x = 173,004 × 173,004
4. Step 4: Simplify right side
   78,726x = 29,930,384,016
5. Step 5: Solve for x
   x = 29,930,384,016/78,726
6. Step 6: Final answer
   x = 380,184.23