Finding the Third Proportional to 152,744 and 334,576

Step by Step Solution

1. Step 1: Write the proportion equation
   152,744 : 334,576 = 334,576 : x
2. Step 2: Convert to fraction form
   152,744/334,576 = 334,576/x
3. Step 3: Cross multiply
   152,744x = 334,576 × 334,576
4. Step 4: Simplify right side
   152,744x = 111,941,099,776
5. Step 5: Solve for x
   x = 111,941,099,776/152,744
6. Step 6: Final answer
   x = 732,867.41