Finding the Third Proportional to 148,264 and 322,736

Step by Step Solution

1. Step 1: Write the proportion equation
   148,264 : 322,736 = 322,736 : x
2. Step 2: Convert to fraction form
   148,264/322,736 = 322,736/x
3. Step 3: Cross multiply
   148,264x = 322,736 × 322,736
4. Step 4: Simplify right side
   148,264x = 104,158,525,696
5. Step 5: Solve for x
   x = 104,158,525,696/148,264
6. Step 6: Final answer
   x = 702,520.68