Finding the Third Proportional to 78,048 and 184,180.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,048 : 184,180.50 = 184,180.50 : x
2. Step 2: Convert to fraction form
   78,048/184,180.50 = 184,180.50/x
3. Step 3: Cross multiply
   78,048x = 184,180.50 × 184,180.50
4. Step 4: Simplify right side
   78,048x = 33,922,456,580.25
5. Step 5: Solve for x
   x = 33,922,456,580.25/78,048
6. Step 6: Final answer
   x = 434,635.82