Finding the Third Proportional to 79,738 and 171,764

Step by Step Solution

1. Step 1: Write the proportion equation
   79,738 : 171,764 = 171,764 : x
2. Step 2: Convert to fraction form
   79,738/171,764 = 171,764/x
3. Step 3: Cross multiply
   79,738x = 171,764 × 171,764
4. Step 4: Simplify right side
   79,738x = 29,502,871,696
5. Step 5: Solve for x
   x = 29,502,871,696/79,738
6. Step 6: Final answer
   x = 369,997.64