Finding the Third Proportional to 152,984 and 331,386

Step by Step Solution

1. Step 1: Write the proportion equation
   152,984 : 331,386 = 331,386 : x
2. Step 2: Convert to fraction form
   152,984/331,386 = 331,386/x
3. Step 3: Cross multiply
   152,984x = 331,386 × 331,386
4. Step 4: Simplify right side
   152,984x = 109,816,680,996
5. Step 5: Solve for x
   x = 109,816,680,996/152,984
6. Step 6: Final answer
   x = 717,831.15