Finding the Third Proportional to 258,904 and 553,792.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,904 : 553,792.50 = 553,792.50 : x
2. Step 2: Convert to fraction form
   258,904/553,792.50 = 553,792.50/x
3. Step 3: Cross multiply
   258,904x = 553,792.50 × 553,792.50
4. Step 4: Simplify right side
   258,904x = 306,686,133,056.25
5. Step 5: Solve for x
   x = 306,686,133,056.25/258,904
6. Step 6: Final answer
   x = 1,184,555.41