Finding the Third Proportional to 107,538.89 and 166,434.12

Step by Step Solution

1. Step 1: Write the proportion equation
   107,538.89 : 166,434.12 = 166,434.12 : x
2. Step 2: Convert to fraction form
   107,538.89/166,434.12 = 166,434.12/x
3. Step 3: Cross multiply
   107,538.89x = 166,434.12 × 166,434.12
4. Step 4: Simplify right side
   107,538.89x = 27,700,315,363.98
5. Step 5: Solve for x
   x = 27,700,315,363.98/107,538.89
6. Step 6: Final answer
   x = 257,584.17