Finding the Third Proportional to 206,146 and 294,003

Step by Step Solution

1. Step 1: Write the proportion equation
   206,146 : 294,003 = 294,003 : x
2. Step 2: Convert to fraction form
   206,146/294,003 = 294,003/x
3. Step 3: Cross multiply
   206,146x = 294,003 × 294,003
4. Step 4: Simplify right side
   206,146x = 86,437,764,009
5. Step 5: Solve for x
   x = 86,437,764,009/206,146
6. Step 6: Final answer
   x = 419,303.62