Finding the Third Proportional to 55,518 and 120,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,518 : 120,514.50 = 120,514.50 : x
2. Step 2: Convert to fraction form
   55,518/120,514.50 = 120,514.50/x
3. Step 3: Cross multiply
   55,518x = 120,514.50 × 120,514.50
4. Step 4: Simplify right side
   55,518x = 14,523,744,710.25
5. Step 5: Solve for x
   x = 14,523,744,710.25/55,518
6. Step 6: Final answer
   x = 261,604.25