Finding the Third Proportional to 55,253 and 120,626.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,253 : 120,626.50 = 120,626.50 : x
2. Step 2: Convert to fraction form
   55,253/120,626.50 = 120,626.50/x
3. Step 3: Cross multiply
   55,253x = 120,626.50 × 120,626.50
4. Step 4: Simplify right side
   55,253x = 14,550,752,502.25
5. Step 5: Solve for x
   x = 14,550,752,502.25/55,253
6. Step 6: Final answer
   x = 263,347.74