Finding the Third Proportional to 107,040.50 and 166,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,040.50 : 166,688.50 = 166,688.50 : x
2. Step 2: Convert to fraction form
   107,040.50/166,688.50 = 166,688.50/x
3. Step 3: Cross multiply
   107,040.50x = 166,688.50 × 166,688.50
4. Step 4: Simplify right side
   107,040.50x = 27,785,056,032.25
5. Step 5: Solve for x
   x = 27,785,056,032.25/107,040.50
6. Step 6: Final answer
   x = 259,575.17