Finding the Third Proportional to 106,980 and 165,562.59

Step by Step Solution

1. Step 1: Write the proportion equation
   106,980 : 165,562.59 = 165,562.59 : x
2. Step 2: Convert to fraction form
   106,980/165,562.59 = 165,562.59/x
3. Step 3: Cross multiply
   106,980x = 165,562.59 × 165,562.59
4. Step 4: Simplify right side
   106,980x = 27,410,972,449.23
5. Step 5: Solve for x
   x = 27,410,972,449.23/106,980
6. Step 6: Final answer
   x = 256,225.21