Finding the Third Proportional to 144,957 and 314,043

Step by Step Solution

1. Step 1: Write the proportion equation
   144,957 : 314,043 = 314,043 : x
2. Step 2: Convert to fraction form
   144,957/314,043 = 314,043/x
3. Step 3: Cross multiply
   144,957x = 314,043 × 314,043
4. Step 4: Simplify right side
   144,957x = 98,623,005,849
5. Step 5: Solve for x
   x = 98,623,005,849/144,957
6. Step 6: Final answer
   x = 680,360.42