Finding the Third Proportional to 80,840 and 174,586

Step by Step Solution

1. Step 1: Write the proportion equation
   80,840 : 174,586 = 174,586 : x
2. Step 2: Convert to fraction form
   80,840/174,586 = 174,586/x
3. Step 3: Cross multiply
   80,840x = 174,586 × 174,586
4. Step 4: Simplify right side
   80,840x = 30,480,271,396
5. Step 5: Solve for x
   x = 30,480,271,396/80,840
6. Step 6: Final answer
   x = 377,044.43