Finding the Third Proportional to 157,856 and 333,460

Step by Step Solution

1. Step 1: Write the proportion equation
   157,856 : 333,460 = 333,460 : x
2. Step 2: Convert to fraction form
   157,856/333,460 = 333,460/x
3. Step 3: Cross multiply
   157,856x = 333,460 × 333,460
4. Step 4: Simplify right side
   157,856x = 111,195,571,600
5. Step 5: Solve for x
   x = 111,195,571,600/157,856
6. Step 6: Final answer
   x = 704,411.44