Finding the Third Proportional to 152,984 and 335,512

Step by Step Solution

1. Step 1: Write the proportion equation
   152,984 : 335,512 = 335,512 : x
2. Step 2: Convert to fraction form
   152,984/335,512 = 335,512/x
3. Step 3: Cross multiply
   152,984x = 335,512 × 335,512
4. Step 4: Simplify right side
   152,984x = 112,568,302,144
5. Step 5: Solve for x
   x = 112,568,302,144/152,984
6. Step 6: Final answer
   x = 735,817.49