Finding the Third Proportional to 55,254 and 120,628.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,254 : 120,628.50 = 120,628.50 : x
2. Step 2: Convert to fraction form
   55,254/120,628.50 = 120,628.50/x
3. Step 3: Cross multiply
   55,254x = 120,628.50 × 120,628.50
4. Step 4: Simplify right side
   55,254x = 14,551,235,012.25
5. Step 5: Solve for x
   x = 14,551,235,012.25/55,254
6. Step 6: Final answer
   x = 263,351.70