Finding the Third Proportional to 80,402 and 174,644

Step by Step Solution

1. Step 1: Write the proportion equation
   80,402 : 174,644 = 174,644 : x
2. Step 2: Convert to fraction form
   80,402/174,644 = 174,644/x
3. Step 3: Cross multiply
   80,402x = 174,644 × 174,644
4. Step 4: Simplify right side
   80,402x = 30,500,526,736
5. Step 5: Solve for x
   x = 30,500,526,736/80,402
6. Step 6: Final answer
   x = 379,350.35