Finding the Third Proportional to 40,624 and 89,096

Step by Step Solution

1. Step 1: Write the proportion equation
   40,624 : 89,096 = 89,096 : x
2. Step 2: Convert to fraction form
   40,624/89,096 = 89,096/x
3. Step 3: Cross multiply
   40,624x = 89,096 × 89,096
4. Step 4: Simplify right side
   40,624x = 7,938,097,216
5. Step 5: Solve for x
   x = 7,938,097,216/40,624
6. Step 6: Final answer
   x = 195,404.13