Finding the Third Proportional to 259,516 and 557,830

Step by Step Solution

1. Step 1: Write the proportion equation
   259,516 : 557,830 = 557,830 : x
2. Step 2: Convert to fraction form
   259,516/557,830 = 557,830/x
3. Step 3: Cross multiply
   259,516x = 557,830 × 557,830
4. Step 4: Simplify right side
   259,516x = 311,174,308,900
5. Step 5: Solve for x
   x = 311,174,308,900/259,516
6. Step 6: Final answer
   x = 1,199,056.35