Finding the Third Proportional to 42,180 and 91,741

Step by Step Solution

1. Step 1: Write the proportion equation
   42,180 : 91,741 = 91,741 : x
2. Step 2: Convert to fraction form
   42,180/91,741 = 91,741/x
3. Step 3: Cross multiply
   42,180x = 91,741 × 91,741
4. Step 4: Simplify right side
   42,180x = 8,416,411,081
5. Step 5: Solve for x
   x = 8,416,411,081/42,180
6. Step 6: Final answer
   x = 199,535.59