Finding the Third Proportional to 65,889 and 128,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,889 : 128,464.50 = 128,464.50 : x
2. Step 2: Convert to fraction form
   65,889/128,464.50 = 128,464.50/x
3. Step 3: Cross multiply
   65,889x = 128,464.50 × 128,464.50
4. Step 4: Simplify right side
   65,889x = 16,503,127,760.25
5. Step 5: Solve for x
   x = 16,503,127,760.25/65,889
6. Step 6: Final answer
   x = 250,468.63