Finding the Third Proportional to 188,667 and 256,360.50

Step by Step Solution

1. Step 1: Write the proportion equation
   188,667 : 256,360.50 = 256,360.50 : x
2. Step 2: Convert to fraction form
   188,667/256,360.50 = 256,360.50/x
3. Step 3: Cross multiply
   188,667x = 256,360.50 × 256,360.50
4. Step 4: Simplify right side
   188,667x = 65,720,705,960.25
5. Step 5: Solve for x
   x = 65,720,705,960.25/188,667
6. Step 6: Final answer
   x = 348,342.35