Finding the Third Proportional to 41,853 and 90,114

Step by Step Solution

1. Step 1: Write the proportion equation
   41,853 : 90,114 = 90,114 : x
2. Step 2: Convert to fraction form
   41,853/90,114 = 90,114/x
3. Step 3: Cross multiply
   41,853x = 90,114 × 90,114
4. Step 4: Simplify right side
   41,853x = 8,120,532,996
5. Step 5: Solve for x
   x = 8,120,532,996/41,853
6. Step 6: Final answer
   x = 194,025.11