Finding the Third Proportional to 146,458 and 320,942

Step by Step Solution

1. Step 1: Write the proportion equation
   146,458 : 320,942 = 320,942 : x
2. Step 2: Convert to fraction form
   146,458/320,942 = 320,942/x
3. Step 3: Cross multiply
   146,458x = 320,942 × 320,942
4. Step 4: Simplify right side
   146,458x = 103,003,767,364
5. Step 5: Solve for x
   x = 103,003,767,364/146,458
6. Step 6: Final answer
   x = 703,299.02