Finding the Third Proportional to 144,196.50 and 310,579.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,196.50 : 310,579.50 = 310,579.50 : x
2. Step 2: Convert to fraction form
   144,196.50/310,579.50 = 310,579.50/x
3. Step 3: Cross multiply
   144,196.50x = 310,579.50 × 310,579.50
4. Step 4: Simplify right side
   144,196.50x = 96,459,625,820.25
5. Step 5: Solve for x
   x = 96,459,625,820.25/144,196.50
6. Step 6: Final answer
   x = 668,945.68