Finding the Third Proportional to 152,768 and 335,624

Step by Step Solution

1. Step 1: Write the proportion equation
   152,768 : 335,624 = 335,624 : x
2. Step 2: Convert to fraction form
   152,768/335,624 = 335,624/x
3. Step 3: Cross multiply
   152,768x = 335,624 × 335,624
4. Step 4: Simplify right side
   152,768x = 112,643,469,376
5. Step 5: Solve for x
   x = 112,643,469,376/152,768
6. Step 6: Final answer
   x = 737,349.90