Finding the Third Proportional to 147,002 and 318,896

Step by Step Solution

1. Step 1: Write the proportion equation
   147,002 : 318,896 = 318,896 : x
2. Step 2: Convert to fraction form
   147,002/318,896 = 318,896/x
3. Step 3: Cross multiply
   147,002x = 318,896 × 318,896
4. Step 4: Simplify right side
   147,002x = 101,694,658,816
5. Step 5: Solve for x
   x = 101,694,658,816/147,002
6. Step 6: Final answer
   x = 691,790.99