Finding the Third Proportional to 152,944 and 333,535

Step by Step Solution

1. Step 1: Write the proportion equation
   152,944 : 333,535 = 333,535 : x
2. Step 2: Convert to fraction form
   152,944/333,535 = 333,535/x
3. Step 3: Cross multiply
   152,944x = 333,535 × 333,535
4. Step 4: Simplify right side
   152,944x = 111,245,596,225
5. Step 5: Solve for x
   x = 111,245,596,225/152,944
6. Step 6: Final answer
   x = 727,361.62