Finding the Third Proportional to 152,754 and 331,644

Step by Step Solution

1. Step 1: Write the proportion equation
   152,754 : 331,644 = 331,644 : x
2. Step 2: Convert to fraction form
   152,754/331,644 = 331,644/x
3. Step 3: Cross multiply
   152,754x = 331,644 × 331,644
4. Step 4: Simplify right side
   152,754x = 109,987,742,736
5. Step 5: Solve for x
   x = 109,987,742,736/152,754
6. Step 6: Final answer
   x = 720,031.83