Finding the Third Proportional to 55,628 and 113,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,628 : 113,199.50 = 113,199.50 : x
2. Step 2: Convert to fraction form
   55,628/113,199.50 = 113,199.50/x
3. Step 3: Cross multiply
   55,628x = 113,199.50 × 113,199.50
4. Step 4: Simplify right side
   55,628x = 12,814,126,800.25
5. Step 5: Solve for x
   x = 12,814,126,800.25/55,628
6. Step 6: Final answer
   x = 230,353.90