Finding the Third Proportional to 151,734 and 218,564

Step by Step Solution

1. Step 1: Write the proportion equation
   151,734 : 218,564 = 218,564 : x
2. Step 2: Convert to fraction form
   151,734/218,564 = 218,564/x
3. Step 3: Cross multiply
   151,734x = 218,564 × 218,564
4. Step 4: Simplify right side
   151,734x = 47,770,222,096
5. Step 5: Solve for x
   x = 47,770,222,096/151,734
6. Step 6: Final answer
   x = 314,828.73