Finding the Third Proportional to 108,291.38 and 166,665.88

Step by Step Solution

1. Step 1: Write the proportion equation
   108,291.38 : 166,665.88 = 166,665.88 : x
2. Step 2: Convert to fraction form
   108,291.38/166,665.88 = 166,665.88/x
3. Step 3: Cross multiply
   108,291.38x = 166,665.88 × 166,665.88
4. Step 4: Simplify right side
   108,291.38x = 27,777,513,889.52
5. Step 5: Solve for x
   x = 27,777,513,889.52/108,291.38
6. Step 6: Final answer
   x = 256,507.17