Finding the Third Proportional to 543,848 and 764,496

Step by Step Solution

1. Step 1: Write the proportion equation
   543,848 : 764,496 = 764,496 : x
2. Step 2: Convert to fraction form
   543,848/764,496 = 764,496/x
3. Step 3: Cross multiply
   543,848x = 764,496 × 764,496
4. Step 4: Simplify right side
   543,848x = 584,454,134,016
5. Step 5: Solve for x
   x = 584,454,134,016/543,848
6. Step 6: Final answer
   x = 1,074,664.49