Finding the Third Proportional to 107,038.50 and 166,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,038.50 : 166,684.50 = 166,684.50 : x
2. Step 2: Convert to fraction form
   107,038.50/166,684.50 = 166,684.50/x
3. Step 3: Cross multiply
   107,038.50x = 166,684.50 × 166,684.50
4. Step 4: Simplify right side
   107,038.50x = 27,783,722,540.25
5. Step 5: Solve for x
   x = 27,783,722,540.25/107,038.50
6. Step 6: Final answer
   x = 259,567.56