Finding the Third Proportional to 188,667 and 280,435.50

Step by Step Solution

1. Step 1: Write the proportion equation
   188,667 : 280,435.50 = 280,435.50 : x
2. Step 2: Convert to fraction form
   188,667/280,435.50 = 280,435.50/x
3. Step 3: Cross multiply
   188,667x = 280,435.50 × 280,435.50
4. Step 4: Simplify right side
   188,667x = 78,644,069,660.25
5. Step 5: Solve for x
   x = 78,644,069,660.25/188,667
6. Step 6: Final answer
   x = 416,840.62