Finding the Third Proportional to 144,040 and 314,072

Step by Step Solution

1. Step 1: Write the proportion equation
   144,040 : 314,072 = 314,072 : x
2. Step 2: Convert to fraction form
   144,040/314,072 = 314,072/x
3. Step 3: Cross multiply
   144,040x = 314,072 × 314,072
4. Step 4: Simplify right side
   144,040x = 98,641,221,184
5. Step 5: Solve for x
   x = 98,641,221,184/144,040
6. Step 6: Final answer
   x = 684,818.25