Finding the Third Proportional to 206,152 and 294,012

Step by Step Solution

1. Step 1: Write the proportion equation
   206,152 : 294,012 = 294,012 : x
2. Step 2: Convert to fraction form
   206,152/294,012 = 294,012/x
3. Step 3: Cross multiply
   206,152x = 294,012 × 294,012
4. Step 4: Simplify right side
   206,152x = 86,443,056,144
5. Step 5: Solve for x
   x = 86,443,056,144/206,152
6. Step 6: Final answer
   x = 419,317.09