Finding the Third Proportional to 88,881 and 209,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,881 : 209,806.50 = 209,806.50 : x
2. Step 2: Convert to fraction form
   88,881/209,806.50 = 209,806.50/x
3. Step 3: Cross multiply
   88,881x = 209,806.50 × 209,806.50
4. Step 4: Simplify right side
   88,881x = 44,018,767,442.25
5. Step 5: Solve for x
   x = 44,018,767,442.25/88,881
6. Step 6: Final answer
   x = 495,255.09