Finding the Third Proportional to 258,826.50 and 553,636.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,826.50 : 553,636.50 = 553,636.50 : x
2. Step 2: Convert to fraction form
   258,826.50/553,636.50 = 553,636.50/x
3. Step 3: Cross multiply
   258,826.50x = 553,636.50 × 553,636.50
4. Step 4: Simplify right side
   258,826.50x = 306,513,374,132.25
5. Step 5: Solve for x
   x = 306,513,374,132.25/258,826.50
6. Step 6: Final answer
   x = 1,184,242.63