Finding the Third Proportional to 79,764 and 174,018

Step by Step Solution

1. Step 1: Write the proportion equation
   79,764 : 174,018 = 174,018 : x
2. Step 2: Convert to fraction form
   79,764/174,018 = 174,018/x
3. Step 3: Cross multiply
   79,764x = 174,018 × 174,018
4. Step 4: Simplify right side
   79,764x = 30,282,264,324
5. Step 5: Solve for x
   x = 30,282,264,324/79,764
6. Step 6: Final answer
   x = 379,648.27