Finding the Third Proportional to 144,177 and 315,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,177 : 315,496.50 = 315,496.50 : x
2. Step 2: Convert to fraction form
   144,177/315,496.50 = 315,496.50/x
3. Step 3: Cross multiply
   144,177x = 315,496.50 × 315,496.50
4. Step 4: Simplify right side
   144,177x = 99,538,041,512.25
5. Step 5: Solve for x
   x = 99,538,041,512.25/144,177
6. Step 6: Final answer
   x = 690,387.80