Finding the Third Proportional to 105,031.69 and 166,996.69

Step by Step Solution

1. Step 1: Write the proportion equation
   105,031.69 : 166,996.69 = 166,996.69 : x
2. Step 2: Convert to fraction form
   105,031.69/166,996.69 = 166,996.69/x
3. Step 3: Cross multiply
   105,031.69x = 166,996.69 × 166,996.69
4. Step 4: Simplify right side
   105,031.69x = 27,887,893,635.97
5. Step 5: Solve for x
   x = 27,887,893,635.97/105,031.69
6. Step 6: Final answer
   x = 265,518.86