Finding the Third Proportional to 186,256.50 and 414,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,256.50 : 414,667.50 = 414,667.50 : x
2. Step 2: Convert to fraction form
   186,256.50/414,667.50 = 414,667.50/x
3. Step 3: Cross multiply
   186,256.50x = 414,667.50 × 414,667.50
4. Step 4: Simplify right side
   186,256.50x = 171,949,135,556.25
5. Step 5: Solve for x
   x = 171,949,135,556.25/186,256.50
6. Step 6: Final answer
   x = 923,184.62