Finding the Third Proportional to 206,499.38 and 424,116

Step by Step Solution

1. Step 1: Write the proportion equation
   206,499.38 : 424,116 = 424,116 : x
2. Step 2: Convert to fraction form
   206,499.38/424,116 = 424,116/x
3. Step 3: Cross multiply
   206,499.38x = 424,116 × 424,116
4. Step 4: Simplify right side
   206,499.38x = 179,874,381,456
5. Step 5: Solve for x
   x = 179,874,381,456/206,499.38
6. Step 6: Final answer
   x = 871,065.02