Finding the Third Proportional to 152,836 and 335,198

Step by Step Solution

1. Step 1: Write the proportion equation
   152,836 : 335,198 = 335,198 : x
2. Step 2: Convert to fraction form
   152,836/335,198 = 335,198/x
3. Step 3: Cross multiply
   152,836x = 335,198 × 335,198
4. Step 4: Simplify right side
   152,836x = 112,357,699,204
5. Step 5: Solve for x
   x = 112,357,699,204/152,836
6. Step 6: Final answer
   x = 735,152.05