Finding the Third Proportional to 40,740 and 89,138

Step by Step Solution

1. Step 1: Write the proportion equation
   40,740 : 89,138 = 89,138 : x
2. Step 2: Convert to fraction form
   40,740/89,138 = 89,138/x
3. Step 3: Cross multiply
   40,740x = 89,138 × 89,138
4. Step 4: Simplify right side
   40,740x = 7,945,583,044
5. Step 5: Solve for x
   x = 7,945,583,044/40,740
6. Step 6: Final answer
   x = 195,031.49