Finding the Third Proportional to 150,898 and 325,510

Step by Step Solution

1. Step 1: Write the proportion equation
   150,898 : 325,510 = 325,510 : x
2. Step 2: Convert to fraction form
   150,898/325,510 = 325,510/x
3. Step 3: Cross multiply
   150,898x = 325,510 × 325,510
4. Step 4: Simplify right side
   150,898x = 105,956,760,100
5. Step 5: Solve for x
   x = 105,956,760,100/150,898
6. Step 6: Final answer
   x = 702,174.71