Finding the Third Proportional to 57,530 and 117,846

Step by Step Solution

1. Step 1: Write the proportion equation
   57,530 : 117,846 = 117,846 : x
2. Step 2: Convert to fraction form
   57,530/117,846 = 117,846/x
3. Step 3: Cross multiply
   57,530x = 117,846 × 117,846
4. Step 4: Simplify right side
   57,530x = 13,887,679,716
5. Step 5: Solve for x
   x = 13,887,679,716/57,530
6. Step 6: Final answer
   x = 241,398.92