Finding the Third Proportional to 107,066 and 165,783

Step by Step Solution

1. Step 1: Write the proportion equation
   107,066 : 165,783 = 165,783 : x
2. Step 2: Convert to fraction form
   107,066/165,783 = 165,783/x
3. Step 3: Cross multiply
   107,066x = 165,783 × 165,783
4. Step 4: Simplify right side
   107,066x = 27,484,003,089
5. Step 5: Solve for x
   x = 27,484,003,089/107,066
6. Step 6: Final answer
   x = 256,701.50