Finding the Third Proportional to 80,059 and 174,212

Step by Step Solution

1. Step 1: Write the proportion equation
   80,059 : 174,212 = 174,212 : x
2. Step 2: Convert to fraction form
   80,059/174,212 = 174,212/x
3. Step 3: Cross multiply
   80,059x = 174,212 × 174,212
4. Step 4: Simplify right side
   80,059x = 30,349,820,944
5. Step 5: Solve for x
   x = 30,349,820,944/80,059
6. Step 6: Final answer
   x = 379,093.18