Finding the Third Proportional to 86,935.50 and 209,866

Step by Step Solution

1. Step 1: Write the proportion equation
   86,935.50 : 209,866 = 209,866 : x
2. Step 2: Convert to fraction form
   86,935.50/209,866 = 209,866/x
3. Step 3: Cross multiply
   86,935.50x = 209,866 × 209,866
4. Step 4: Simplify right side
   86,935.50x = 44,043,737,956
5. Step 5: Solve for x
   x = 44,043,737,956/86,935.50
6. Step 6: Final answer
   x = 506,625.46