Finding the Third Proportional to 144,002 and 314,005

Step by Step Solution

1. Step 1: Write the proportion equation
   144,002 : 314,005 = 314,005 : x
2. Step 2: Convert to fraction form
   144,002/314,005 = 314,005/x
3. Step 3: Cross multiply
   144,002x = 314,005 × 314,005
4. Step 4: Simplify right side
   144,002x = 98,599,140,025
5. Step 5: Solve for x
   x = 98,599,140,025/144,002
6. Step 6: Final answer
   x = 684,706.74