Finding the Third Proportional to 80,058 and 174,210

Step by Step Solution

1. Step 1: Write the proportion equation
   80,058 : 174,210 = 174,210 : x
2. Step 2: Convert to fraction form
   80,058/174,210 = 174,210/x
3. Step 3: Cross multiply
   80,058x = 174,210 × 174,210
4. Step 4: Simplify right side
   80,058x = 30,349,124,100
5. Step 5: Solve for x
   x = 30,349,124,100/80,058
6. Step 6: Final answer
   x = 379,089.21