Finding the Third Proportional to 67,664 and 147,568

Step by Step Solution

1. Step 1: Write the proportion equation
   67,664 : 147,568 = 147,568 : x
2. Step 2: Convert to fraction form
   67,664/147,568 = 147,568/x
3. Step 3: Cross multiply
   67,664x = 147,568 × 147,568
4. Step 4: Simplify right side
   67,664x = 21,776,314,624
5. Step 5: Solve for x
   x = 21,776,314,624/67,664
6. Step 6: Final answer
   x = 321,830.14