Finding the Third Proportional to 184,228 and 407,180

Step by Step Solution

1. Step 1: Write the proportion equation
   184,228 : 407,180 = 407,180 : x
2. Step 2: Convert to fraction form
   184,228/407,180 = 407,180/x
3. Step 3: Cross multiply
   184,228x = 407,180 × 407,180
4. Step 4: Simplify right side
   184,228x = 165,795,552,400
5. Step 5: Solve for x
   x = 165,795,552,400/184,228
6. Step 6: Final answer
   x = 899,947.63