Finding the Third Proportional to 152,742 and 335,370

Step by Step Solution

1. Step 1: Write the proportion equation
   152,742 : 335,370 = 335,370 : x
2. Step 2: Convert to fraction form
   152,742/335,370 = 335,370/x
3. Step 3: Cross multiply
   152,742x = 335,370 × 335,370
4. Step 4: Simplify right side
   152,742x = 112,473,036,900
5. Step 5: Solve for x
   x = 112,473,036,900/152,742
6. Step 6: Final answer
   x = 736,359.59