Finding the Third Proportional to 206,484.50 and 424,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   206,484.50 : 424,085.50 = 424,085.50 : x
2. Step 2: Convert to fraction form
   206,484.50/424,085.50 = 424,085.50/x
3. Step 3: Cross multiply
   206,484.50x = 424,085.50 × 424,085.50
4. Step 4: Simplify right side
   206,484.50x = 179,848,511,310.25
5. Step 5: Solve for x
   x = 179,848,511,310.25/206,484.50
6. Step 6: Final answer
   x = 871,002.48