Finding the Third Proportional to 55,628 and 113,188

Step by Step Solution

1. Step 1: Write the proportion equation
   55,628 : 113,188 = 113,188 : x
2. Step 2: Convert to fraction form
   55,628/113,188 = 113,188/x
3. Step 3: Cross multiply
   55,628x = 113,188 × 113,188
4. Step 4: Simplify right side
   55,628x = 12,811,523,344
5. Step 5: Solve for x
   x = 12,811,523,344/55,628
6. Step 6: Final answer
   x = 230,307.10