Finding the Third Proportional to 46,651.50 and 109,651.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,651.50 : 109,651.50 = 109,651.50 : x
2. Step 2: Convert to fraction form
   46,651.50/109,651.50 = 109,651.50/x
3. Step 3: Cross multiply
   46,651.50x = 109,651.50 × 109,651.50
4. Step 4: Simplify right side
   46,651.50x = 12,023,451,452.25
5. Step 5: Solve for x
   x = 12,023,451,452.25/46,651.50
6. Step 6: Final answer
   x = 257,729.15