Finding the Third Proportional to 147,449 and 322,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,449 : 322,496.50 = 322,496.50 : x
2. Step 2: Convert to fraction form
   147,449/322,496.50 = 322,496.50/x
3. Step 3: Cross multiply
   147,449x = 322,496.50 × 322,496.50
4. Step 4: Simplify right side
   147,449x = 104,003,992,512.25
5. Step 5: Solve for x
   x = 104,003,992,512.25/147,449
6. Step 6: Final answer
   x = 705,355.70