Finding the Third Proportional to 152,982 and 335,514

Step by Step Solution

1. Step 1: Write the proportion equation
   152,982 : 335,514 = 335,514 : x
2. Step 2: Convert to fraction form
   152,982/335,514 = 335,514/x
3. Step 3: Cross multiply
   152,982x = 335,514 × 335,514
4. Step 4: Simplify right side
   152,982x = 112,569,644,196
5. Step 5: Solve for x
   x = 112,569,644,196/152,982
6. Step 6: Final answer
   x = 735,835.88