Finding the Third Proportional to 42,261 and 91,218

Step by Step Solution

1. Step 1: Write the proportion equation
   42,261 : 91,218 = 91,218 : x
2. Step 2: Convert to fraction form
   42,261/91,218 = 91,218/x
3. Step 3: Cross multiply
   42,261x = 91,218 × 91,218
4. Step 4: Simplify right side
   42,261x = 8,320,723,524
5. Step 5: Solve for x
   x = 8,320,723,524/42,261
6. Step 6: Final answer
   x = 196,888.94