Finding the Third Proportional to 144,756 and 223,695.75

Step by Step Solution

1. Step 1: Write the proportion equation
   144,756 : 223,695.75 = 223,695.75 : x
2. Step 2: Convert to fraction form
   144,756/223,695.75 = 223,695.75/x
3. Step 3: Cross multiply
   144,756x = 223,695.75 × 223,695.75
4. Step 4: Simplify right side
   144,756x = 50,039,788,568.06
5. Step 5: Solve for x
   x = 50,039,788,568.06/144,756
6. Step 6: Final answer
   x = 345,683.69