Finding the Third Proportional to 171,624 and 362,904

Step by Step Solution

1. Step 1: Write the proportion equation
   171,624 : 362,904 = 362,904 : x
2. Step 2: Convert to fraction form
   171,624/362,904 = 362,904/x
3. Step 3: Cross multiply
   171,624x = 362,904 × 362,904
4. Step 4: Simplify right side
   171,624x = 131,699,313,216
5. Step 5: Solve for x
   x = 131,699,313,216/171,624
6. Step 6: Final answer
   x = 767,371.19