Finding the Third Proportional to 41,378 and 89,318

Step by Step Solution

1. Step 1: Write the proportion equation
   41,378 : 89,318 = 89,318 : x
2. Step 2: Convert to fraction form
   41,378/89,318 = 89,318/x
3. Step 3: Cross multiply
   41,378x = 89,318 × 89,318
4. Step 4: Simplify right side
   41,378x = 7,977,705,124
5. Step 5: Solve for x
   x = 7,977,705,124/41,378
6. Step 6: Final answer
   x = 192,800.65