Finding the Third Proportional to 184,856 and 280,748

Step by Step Solution

1. Step 1: Write the proportion equation
   184,856 : 280,748 = 280,748 : x
2. Step 2: Convert to fraction form
   184,856/280,748 = 280,748/x
3. Step 3: Cross multiply
   184,856x = 280,748 × 280,748
4. Step 4: Simplify right side
   184,856x = 78,819,439,504
5. Step 5: Solve for x
   x = 78,819,439,504/184,856
6. Step 6: Final answer
   x = 426,382.91