Finding the Third Proportional to 107,031.75 and 166,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,031.75 : 166,675.50 = 166,675.50 : x
2. Step 2: Convert to fraction form
   107,031.75/166,675.50 = 166,675.50/x
3. Step 3: Cross multiply
   107,031.75x = 166,675.50 × 166,675.50
4. Step 4: Simplify right side
   107,031.75x = 27,780,722,300.25
5. Step 5: Solve for x
   x = 27,780,722,300.25/107,031.75
6. Step 6: Final answer
   x = 259,555.90