Finding the Third Proportional to 174,667.50 and 262,867.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,667.50 : 262,867.50 = 262,867.50 : x
2. Step 2: Convert to fraction form
   174,667.50/262,867.50 = 262,867.50/x
3. Step 3: Cross multiply
   174,667.50x = 262,867.50 × 262,867.50
4. Step 4: Simplify right side
   174,667.50x = 69,099,322,556.25
5. Step 5: Solve for x
   x = 69,099,322,556.25/174,667.50
6. Step 6: Final answer
   x = 395,604.92