Finding the Third Proportional to 40,857 and 89,733

Step by Step Solution

1. Step 1: Write the proportion equation
   40,857 : 89,733 = 89,733 : x
2. Step 2: Convert to fraction form
   40,857/89,733 = 89,733/x
3. Step 3: Cross multiply
   40,857x = 89,733 × 89,733
4. Step 4: Simplify right side
   40,857x = 8,052,011,289
5. Step 5: Solve for x
   x = 8,052,011,289/40,857
6. Step 6: Final answer
   x = 197,077.89