Finding the Third Proportional to 146,998 and 322,007

Step by Step Solution

1. Step 1: Write the proportion equation
   146,998 : 322,007 = 322,007 : x
2. Step 2: Convert to fraction form
   146,998/322,007 = 322,007/x
3. Step 3: Cross multiply
   146,998x = 322,007 × 322,007
4. Step 4: Simplify right side
   146,998x = 103,688,508,049
5. Step 5: Solve for x
   x = 103,688,508,049/146,998
6. Step 6: Final answer
   x = 705,373.60