Finding the Third Proportional to 372,022 and 523,892

Step by Step Solution

1. Step 1: Write the proportion equation
   372,022 : 523,892 = 523,892 : x
2. Step 2: Convert to fraction form
   372,022/523,892 = 523,892/x
3. Step 3: Cross multiply
   372,022x = 523,892 × 523,892
4. Step 4: Simplify right side
   372,022x = 274,462,827,664
5. Step 5: Solve for x
   x = 274,462,827,664/372,022
6. Step 6: Final answer
   x = 737,759.67