Finding the Third Proportional to 40,770 and 89,558

Step by Step Solution

1. Step 1: Write the proportion equation
   40,770 : 89,558 = 89,558 : x
2. Step 2: Convert to fraction form
   40,770/89,558 = 89,558/x
3. Step 3: Cross multiply
   40,770x = 89,558 × 89,558
4. Step 4: Simplify right side
   40,770x = 8,020,635,364
5. Step 5: Solve for x
   x = 8,020,635,364/40,770
6. Step 6: Final answer
   x = 196,728.85