Finding the Third Proportional to 40,778 and 89,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,778 : 89,574.50 = 89,574.50 : x
2. Step 2: Convert to fraction form
   40,778/89,574.50 = 89,574.50/x
3. Step 3: Cross multiply
   40,778x = 89,574.50 × 89,574.50
4. Step 4: Simplify right side
   40,778x = 8,023,591,050.25
5. Step 5: Solve for x
   x = 8,023,591,050.25/40,778
6. Step 6: Final answer
   x = 196,762.74