Finding the Third Proportional to 142,998 and 314,004

Step by Step Solution

1. Step 1: Write the proportion equation
   142,998 : 314,004 = 314,004 : x
2. Step 2: Convert to fraction form
   142,998/314,004 = 314,004/x
3. Step 3: Cross multiply
   142,998x = 314,004 × 314,004
4. Step 4: Simplify right side
   142,998x = 98,598,512,016
5. Step 5: Solve for x
   x = 98,598,512,016/142,998
6. Step 6: Final answer
   x = 689,509.73