Finding the Third Proportional to 107,314 and 166,089

Step by Step Solution

1. Step 1: Write the proportion equation
   107,314 : 166,089 = 166,089 : x
2. Step 2: Convert to fraction form
   107,314/166,089 = 166,089/x
3. Step 3: Cross multiply
   107,314x = 166,089 × 166,089
4. Step 4: Simplify right side
   107,314x = 27,585,555,921
5. Step 5: Solve for x
   x = 27,585,555,921/107,314
6. Step 6: Final answer
   x = 257,054.59