Finding the Third Proportional to 106,978.50 and 165,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,978.50 : 165,559.50 = 165,559.50 : x
2. Step 2: Convert to fraction form
   106,978.50/165,559.50 = 165,559.50/x
3. Step 3: Cross multiply
   106,978.50x = 165,559.50 × 165,559.50
4. Step 4: Simplify right side
   106,978.50x = 27,409,948,040.25
5. Step 5: Solve for x
   x = 27,409,948,040.25/106,978.50
6. Step 6: Final answer
   x = 256,219.22