Finding the Third Proportional to 80,046 and 174,849

Step by Step Solution

1. Step 1: Write the proportion equation
   80,046 : 174,849 = 174,849 : x
2. Step 2: Convert to fraction form
   80,046/174,849 = 174,849/x
3. Step 3: Cross multiply
   80,046x = 174,849 × 174,849
4. Step 4: Simplify right side
   80,046x = 30,572,172,801
5. Step 5: Solve for x
   x = 30,572,172,801/80,046
6. Step 6: Final answer
   x = 381,932.55