Finding the Third Proportional to 53,147 and 116,662

Step by Step Solution

1. Step 1: Write the proportion equation
   53,147 : 116,662 = 116,662 : x
2. Step 2: Convert to fraction form
   53,147/116,662 = 116,662/x
3. Step 3: Cross multiply
   53,147x = 116,662 × 116,662
4. Step 4: Simplify right side
   53,147x = 13,610,022,244
5. Step 5: Solve for x
   x = 13,610,022,244/53,147
6. Step 6: Final answer
   x = 256,082.61