Finding the Third Proportional to 78,974 and 174,556

Step by Step Solution

1. Step 1: Write the proportion equation
   78,974 : 174,556 = 174,556 : x
2. Step 2: Convert to fraction form
   78,974/174,556 = 174,556/x
3. Step 3: Cross multiply
   78,974x = 174,556 × 174,556
4. Step 4: Simplify right side
   78,974x = 30,469,797,136
5. Step 5: Solve for x
   x = 30,469,797,136/78,974
6. Step 6: Final answer
   x = 385,820.61