Finding the Third Proportional to 258,228 and 559,345.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,228 : 559,345.50 = 559,345.50 : x
2. Step 2: Convert to fraction form
   258,228/559,345.50 = 559,345.50/x
3. Step 3: Cross multiply
   258,228x = 559,345.50 × 559,345.50
4. Step 4: Simplify right side
   258,228x = 312,867,388,370.25
5. Step 5: Solve for x
   x = 312,867,388,370.25/258,228
6. Step 6: Final answer
   x = 1,211,593.59