Finding the Third Proportional to 356,940 and 523,488

Step by Step Solution

1. Step 1: Write the proportion equation
   356,940 : 523,488 = 523,488 : x
2. Step 2: Convert to fraction form
   356,940/523,488 = 523,488/x
3. Step 3: Cross multiply
   356,940x = 523,488 × 523,488
4. Step 4: Simplify right side
   356,940x = 274,039,686,144
5. Step 5: Solve for x
   x = 274,039,686,144/356,940
6. Step 6: Final answer
   x = 767,747.20