Finding the Third Proportional to 107,316 and 166,022

Step by Step Solution

1. Step 1: Write the proportion equation
   107,316 : 166,022 = 166,022 : x
2. Step 2: Convert to fraction form
   107,316/166,022 = 166,022/x
3. Step 3: Cross multiply
   107,316x = 166,022 × 166,022
4. Step 4: Simplify right side
   107,316x = 27,563,304,484
5. Step 5: Solve for x
   x = 27,563,304,484/107,316
6. Step 6: Final answer
   x = 256,842.45