Finding the Third Proportional to 55,848 and 113,316

Step by Step Solution

1. Step 1: Write the proportion equation
   55,848 : 113,316 = 113,316 : x
2. Step 2: Convert to fraction form
   55,848/113,316 = 113,316/x
3. Step 3: Cross multiply
   55,848x = 113,316 × 113,316
4. Step 4: Simplify right side
   55,848x = 12,840,515,856
5. Step 5: Solve for x
   x = 12,840,515,856/55,848
6. Step 6: Final answer
   x = 229,918.99