Finding the Third Proportional to 146,421 and 320,858

Step by Step Solution

1. Step 1: Write the proportion equation
   146,421 : 320,858 = 320,858 : x
2. Step 2: Convert to fraction form
   146,421/320,858 = 320,858/x
3. Step 3: Cross multiply
   146,421x = 320,858 × 320,858
4. Step 4: Simplify right side
   146,421x = 102,949,856,164
5. Step 5: Solve for x
   x = 102,949,856,164/146,421
6. Step 6: Final answer
   x = 703,108.54