Finding the Third Proportional to 259,049 and 557,463.75

Step by Step Solution

1. Step 1: Write the proportion equation
   259,049 : 557,463.75 = 557,463.75 : x
2. Step 2: Convert to fraction form
   259,049/557,463.75 = 557,463.75/x
3. Step 3: Cross multiply
   259,049x = 557,463.75 × 557,463.75
4. Step 4: Simplify right side
   259,049x = 310,765,832,564.06
5. Step 5: Solve for x
   x = 310,765,832,564.06/259,049
6. Step 6: Final answer
   x = 1,199,641.12