Finding the Third Proportional to 152,966 and 335,479

Step by Step Solution

1. Step 1: Write the proportion equation
   152,966 : 335,479 = 335,479 : x
2. Step 2: Convert to fraction form
   152,966/335,479 = 335,479/x
3. Step 3: Cross multiply
   152,966x = 335,479 × 335,479
4. Step 4: Simplify right side
   152,966x = 112,546,159,441
5. Step 5: Solve for x
   x = 112,546,159,441/152,966
6. Step 6: Final answer
   x = 735,759.32