Finding the Third Proportional to 536,584 and 726,144

Step by Step Solution

1. Step 1: Write the proportion equation
   536,584 : 726,144 = 726,144 : x
2. Step 2: Convert to fraction form
   536,584/726,144 = 726,144/x
3. Step 3: Cross multiply
   536,584x = 726,144 × 726,144
4. Step 4: Simplify right side
   536,584x = 527,285,108,736
5. Step 5: Solve for x
   x = 527,285,108,736/536,584
6. Step 6: Final answer
   x = 982,670.20