Finding the Third Proportional to 163,758.50 and 260,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   163,758.50 : 260,399.50 = 260,399.50 : x
2. Step 2: Convert to fraction form
   163,758.50/260,399.50 = 260,399.50/x
3. Step 3: Cross multiply
   163,758.50x = 260,399.50 × 260,399.50
4. Step 4: Simplify right side
   163,758.50x = 67,807,899,600.25
5. Step 5: Solve for x
   x = 67,807,899,600.25/163,758.50
6. Step 6: Final answer
   x = 414,072.55