Finding the Third Proportional to 80,030 and 174,460

Step by Step Solution

1. Step 1: Write the proportion equation
   80,030 : 174,460 = 174,460 : x
2. Step 2: Convert to fraction form
   80,030/174,460 = 174,460/x
3. Step 3: Cross multiply
   80,030x = 174,460 × 174,460
4. Step 4: Simplify right side
   80,030x = 30,436,291,600
5. Step 5: Solve for x
   x = 30,436,291,600/80,030
6. Step 6: Final answer
   x = 380,311.03