Finding the Third Proportional to 144,038 and 314,078

Step by Step Solution

1. Step 1: Write the proportion equation
   144,038 : 314,078 = 314,078 : x
2. Step 2: Convert to fraction form
   144,038/314,078 = 314,078/x
3. Step 3: Cross multiply
   144,038x = 314,078 × 314,078
4. Step 4: Simplify right side
   144,038x = 98,644,990,084
5. Step 5: Solve for x
   x = 98,644,990,084/144,038
6. Step 6: Final answer
   x = 684,853.93