Finding the Third Proportional to 342,576 and 521,952

Step by Step Solution

1. Step 1: Write the proportion equation
   342,576 : 521,952 = 521,952 : x
2. Step 2: Convert to fraction form
   342,576/521,952 = 521,952/x
3. Step 3: Cross multiply
   342,576x = 521,952 × 521,952
4. Step 4: Simplify right side
   342,576x = 272,433,890,304
5. Step 5: Solve for x
   x = 272,433,890,304/342,576
6. Step 6: Final answer
   x = 795,250.95