Finding the Third Proportional to 258,204 and 553,762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,204 : 553,762.50 = 553,762.50 : x
2. Step 2: Convert to fraction form
   258,204/553,762.50 = 553,762.50/x
3. Step 3: Cross multiply
   258,204x = 553,762.50 × 553,762.50
4. Step 4: Simplify right side
   258,204x = 306,652,906,406.25
5. Step 5: Solve for x
   x = 306,652,906,406.25/258,204
6. Step 6: Final answer
   x = 1,187,638.09