Finding the Third Proportional to 55,223 and 120,221.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,223 : 120,221.50 = 120,221.50 : x
2. Step 2: Convert to fraction form
   55,223/120,221.50 = 120,221.50/x
3. Step 3: Cross multiply
   55,223x = 120,221.50 × 120,221.50
4. Step 4: Simplify right side
   55,223x = 14,453,209,062.25
5. Step 5: Solve for x
   x = 14,453,209,062.25/55,223
6. Step 6: Final answer
   x = 261,724.45