Finding the Third Proportional to 80,318 and 174,934

Step by Step Solution

1. Step 1: Write the proportion equation
   80,318 : 174,934 = 174,934 : x
2. Step 2: Convert to fraction form
   80,318/174,934 = 174,934/x
3. Step 3: Cross multiply
   80,318x = 174,934 × 174,934
4. Step 4: Simplify right side
   80,318x = 30,601,904,356
5. Step 5: Solve for x
   x = 30,601,904,356/80,318
6. Step 6: Final answer
   x = 381,009.29