Finding the Third Proportional to 55,456 and 120,254

Step by Step Solution

1. Step 1: Write the proportion equation
   55,456 : 120,254 = 120,254 : x
2. Step 2: Convert to fraction form
   55,456/120,254 = 120,254/x
3. Step 3: Cross multiply
   55,456x = 120,254 × 120,254
4. Step 4: Simplify right side
   55,456x = 14,461,024,516
5. Step 5: Solve for x
   x = 14,461,024,516/55,456
6. Step 6: Final answer
   x = 260,765.73