Finding the Third Proportional to 107,067 and 166,528.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,067 : 166,528.50 = 166,528.50 : x
2. Step 2: Convert to fraction form
   107,067/166,528.50 = 166,528.50/x
3. Step 3: Cross multiply
   107,067x = 166,528.50 × 166,528.50
4. Step 4: Simplify right side
   107,067x = 27,731,741,312.25
5. Step 5: Solve for x
   x = 27,731,741,312.25/107,067
6. Step 6: Final answer
   x = 259,012.97