Finding the Third Proportional to 152,956 and 335,456

Step by Step Solution

1. Step 1: Write the proportion equation
   152,956 : 335,456 = 335,456 : x
2. Step 2: Convert to fraction form
   152,956/335,456 = 335,456/x
3. Step 3: Cross multiply
   152,956x = 335,456 × 335,456
4. Step 4: Simplify right side
   152,956x = 112,530,727,936
5. Step 5: Solve for x
   x = 112,530,727,936/152,956
6. Step 6: Final answer
   x = 735,706.53