Finding the Third Proportional to 116,848 and 166,522

Step by Step Solution

1. Step 1: Write the proportion equation
   116,848 : 166,522 = 166,522 : x
2. Step 2: Convert to fraction form
   116,848/166,522 = 166,522/x
3. Step 3: Cross multiply
   116,848x = 166,522 × 166,522
4. Step 4: Simplify right side
   116,848x = 27,729,576,484
5. Step 5: Solve for x
   x = 27,729,576,484/116,848
6. Step 6: Final answer
   x = 237,313.23