Finding the Third Proportional to 107,026.31 and 166,667.63

Step by Step Solution

1. Step 1: Write the proportion equation
   107,026.31 : 166,667.63 = 166,667.63 : x
2. Step 2: Convert to fraction form
   107,026.31/166,667.63 = 166,667.63/x
3. Step 3: Cross multiply
   107,026.31x = 166,667.63 × 166,667.63
4. Step 4: Simplify right side
   107,026.31x = 27,778,097,223.14
5. Step 5: Solve for x
   x = 27,778,097,223.14/107,026.31
6. Step 6: Final answer
   x = 259,544.56