Finding the Third Proportional to 42,451 and 91,166

Step by Step Solution

1. Step 1: Write the proportion equation
   42,451 : 91,166 = 91,166 : x
2. Step 2: Convert to fraction form
   42,451/91,166 = 91,166/x
3. Step 3: Cross multiply
   42,451x = 91,166 × 91,166
4. Step 4: Simplify right side
   42,451x = 8,311,239,556
5. Step 5: Solve for x
   x = 8,311,239,556/42,451
6. Step 6: Final answer
   x = 195,784.31