Finding the Third Proportional to 144,105 and 314,966.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,105 : 314,966.50 = 314,966.50 : x
2. Step 2: Convert to fraction form
   144,105/314,966.50 = 314,966.50/x
3. Step 3: Cross multiply
   144,105x = 314,966.50 × 314,966.50
4. Step 4: Simplify right side
   144,105x = 99,203,896,122.25
5. Step 5: Solve for x
   x = 99,203,896,122.25/144,105
6. Step 6: Final answer
   x = 688,413.98