Finding the Third Proportional to 146,926 and 329,797

Step by Step Solution

1. Step 1: Write the proportion equation
   146,926 : 329,797 = 329,797 : x
2. Step 2: Convert to fraction form
   146,926/329,797 = 329,797/x
3. Step 3: Cross multiply
   146,926x = 329,797 × 329,797
4. Step 4: Simplify right side
   146,926x = 108,766,061,209
5. Step 5: Solve for x
   x = 108,766,061,209/146,926
6. Step 6: Final answer
   x = 740,277.84