Finding the Third Proportional to 107,310.38 and 166,006.69

Step by Step Solution

1. Step 1: Write the proportion equation
   107,310.38 : 166,006.69 = 166,006.69 : x
2. Step 2: Convert to fraction form
   107,310.38/166,006.69 = 166,006.69/x
3. Step 3: Cross multiply
   107,310.38x = 166,006.69 × 166,006.69
4. Step 4: Simplify right side
   107,310.38x = 27,558,220,294.72
5. Step 5: Solve for x
   x = 27,558,220,294.72/107,310.38
6. Step 6: Final answer
   x = 256,808.54