Finding the Third Proportional to 40,826 and 89,140

Step by Step Solution

1. Step 1: Write the proportion equation
   40,826 : 89,140 = 89,140 : x
2. Step 2: Convert to fraction form
   40,826/89,140 = 89,140/x
3. Step 3: Cross multiply
   40,826x = 89,140 × 89,140
4. Step 4: Simplify right side
   40,826x = 7,945,939,600
5. Step 5: Solve for x
   x = 7,945,939,600/40,826
6. Step 6: Final answer
   x = 194,629.39