Finding the Third Proportional to 107,017.50 and 165,610.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,017.50 : 165,610.50 = 165,610.50 : x
2. Step 2: Convert to fraction form
   107,017.50/165,610.50 = 165,610.50/x
3. Step 3: Cross multiply
   107,017.50x = 165,610.50 × 165,610.50
4. Step 4: Simplify right side
   107,017.50x = 27,426,837,710.25
5. Step 5: Solve for x
   x = 27,426,837,710.25/107,017.50
6. Step 6: Final answer
   x = 256,283.67