Finding the Third Proportional to 80,064 and 174,222

Step by Step Solution

1. Step 1: Write the proportion equation
   80,064 : 174,222 = 174,222 : x
2. Step 2: Convert to fraction form
   80,064/174,222 = 174,222/x
3. Step 3: Cross multiply
   80,064x = 174,222 × 174,222
4. Step 4: Simplify right side
   80,064x = 30,353,305,284
5. Step 5: Solve for x
   x = 30,353,305,284/80,064
6. Step 6: Final answer
   x = 379,113.03