Finding the Third Proportional to 258,205.50 and 559,305

Step by Step Solution

1. Step 1: Write the proportion equation
   258,205.50 : 559,305 = 559,305 : x
2. Step 2: Convert to fraction form
   258,205.50/559,305 = 559,305/x
3. Step 3: Cross multiply
   258,205.50x = 559,305 × 559,305
4. Step 4: Simplify right side
   258,205.50x = 312,822,083,025
5. Step 5: Solve for x
   x = 312,822,083,025/258,205.50
6. Step 6: Final answer
   x = 1,211,523.70