Finding the Third Proportional to 50,586.50 and 110,809.25

Step by Step Solution

1. Step 1: Write the proportion equation
   50,586.50 : 110,809.25 = 110,809.25 : x
2. Step 2: Convert to fraction form
   50,586.50/110,809.25 = 110,809.25/x
3. Step 3: Cross multiply
   50,586.50x = 110,809.25 × 110,809.25
4. Step 4: Simplify right side
   50,586.50x = 12,278,689,885.56
5. Step 5: Solve for x
   x = 12,278,689,885.56/50,586.50
6. Step 6: Final answer
   x = 242,726.61