Finding the Third Proportional to 536,570 and 726,123

Step by Step Solution

1. Step 1: Write the proportion equation
   536,570 : 726,123 = 726,123 : x
2. Step 2: Convert to fraction form
   536,570/726,123 = 726,123/x
3. Step 3: Cross multiply
   536,570x = 726,123 × 726,123
4. Step 4: Simplify right side
   536,570x = 527,254,611,129
5. Step 5: Solve for x
   x = 527,254,611,129/536,570
6. Step 6: Final answer
   x = 982,639.01