Finding the Third Proportional to 80,465 and 174,372

Step by Step Solution

1. Step 1: Write the proportion equation
   80,465 : 174,372 = 174,372 : x
2. Step 2: Convert to fraction form
   80,465/174,372 = 174,372/x
3. Step 3: Cross multiply
   80,465x = 174,372 × 174,372
4. Step 4: Simplify right side
   80,465x = 30,405,594,384
5. Step 5: Solve for x
   x = 30,405,594,384/80,465
6. Step 6: Final answer
   x = 377,873.54