Finding the Third Proportional to 184,854 and 280,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   184,854 : 280,744.50 = 280,744.50 : x
2. Step 2: Convert to fraction form
   184,854/280,744.50 = 280,744.50/x
3. Step 3: Cross multiply
   184,854x = 280,744.50 × 280,744.50
4. Step 4: Simplify right side
   184,854x = 78,817,474,280.25
5. Step 5: Solve for x
   x = 78,817,474,280.25/184,854
6. Step 6: Final answer
   x = 426,376.89