Finding the Third Proportional to 106,980 and 165,561.75

Step by Step Solution

1. Step 1: Write the proportion equation
   106,980 : 165,561.75 = 165,561.75 : x
2. Step 2: Convert to fraction form
   106,980/165,561.75 = 165,561.75/x
3. Step 3: Cross multiply
   106,980x = 165,561.75 × 165,561.75
4. Step 4: Simplify right side
   106,980x = 27,410,693,063.06
5. Step 5: Solve for x
   x = 27,410,693,063.06/106,980
6. Step 6: Final answer
   x = 256,222.59