Finding the Third Proportional to 106,204 and 162,991.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,204 : 162,991.50 = 162,991.50 : x
2. Step 2: Convert to fraction form
   106,204/162,991.50 = 162,991.50/x
3. Step 3: Cross multiply
   106,204x = 162,991.50 × 162,991.50
4. Step 4: Simplify right side
   106,204x = 26,566,229,072.25
5. Step 5: Solve for x
   x = 26,566,229,072.25/106,204
6. Step 6: Final answer
   x = 250,143.39