Finding the Third Proportional to 144,819 and 223,796.25

Step by Step Solution

1. Step 1: Write the proportion equation
   144,819 : 223,796.25 = 223,796.25 : x
2. Step 2: Convert to fraction form
   144,819/223,796.25 = 223,796.25/x
3. Step 3: Cross multiply
   144,819x = 223,796.25 × 223,796.25
4. Step 4: Simplify right side
   144,819x = 50,084,761,514.06
5. Step 5: Solve for x
   x = 50,084,761,514.06/144,819
6. Step 6: Final answer
   x = 345,843.86