Finding the Third Proportional to 206,155 and 294,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   206,155 : 294,016.50 = 294,016.50 : x
2. Step 2: Convert to fraction form
   206,155/294,016.50 = 294,016.50/x
3. Step 3: Cross multiply
   206,155x = 294,016.50 × 294,016.50
4. Step 4: Simplify right side
   206,155x = 86,445,702,272.25
5. Step 5: Solve for x
   x = 86,445,702,272.25/206,155
6. Step 6: Final answer
   x = 419,323.82