Finding the Third Proportional to 257,109 and 558,442.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,109 : 558,442.50 = 558,442.50 : x
2. Step 2: Convert to fraction form
   257,109/558,442.50 = 558,442.50/x
3. Step 3: Cross multiply
   257,109x = 558,442.50 × 558,442.50
4. Step 4: Simplify right side
   257,109x = 311,858,025,806.25
5. Step 5: Solve for x
   x = 311,858,025,806.25/257,109
6. Step 6: Final answer
   x = 1,212,940.92