Finding the Third Proportional to 106,206 and 162,994.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,206 : 162,994.50 = 162,994.50 : x
2. Step 2: Convert to fraction form
   106,206/162,994.50 = 162,994.50/x
3. Step 3: Cross multiply
   106,206x = 162,994.50 × 162,994.50
4. Step 4: Simplify right side
   106,206x = 26,567,207,030.25
5. Step 5: Solve for x
   x = 26,567,207,030.25/106,206
6. Step 6: Final answer
   x = 250,147.89