Finding the Third Proportional to 152,844 and 335,944

Step by Step Solution

1. Step 1: Write the proportion equation
   152,844 : 335,944 = 335,944 : x
2. Step 2: Convert to fraction form
   152,844/335,944 = 335,944/x
3. Step 3: Cross multiply
   152,844x = 335,944 × 335,944
4. Step 4: Simplify right side
   152,844x = 112,858,371,136
5. Step 5: Solve for x
   x = 112,858,371,136/152,844
6. Step 6: Final answer
   x = 738,389.28