Finding the Third Proportional to 535,496 and 713,914

Step by Step Solution

1. Step 1: Write the proportion equation
   535,496 : 713,914 = 713,914 : x
2. Step 2: Convert to fraction form
   535,496/713,914 = 713,914/x
3. Step 3: Cross multiply
   535,496x = 713,914 × 713,914
4. Step 4: Simplify right side
   535,496x = 509,673,199,396
5. Step 5: Solve for x
   x = 509,673,199,396/535,496
6. Step 6: Final answer
   x = 951,777.79