Finding the Third Proportional to 42,578 and 99,449

Step by Step Solution

1. Step 1: Write the proportion equation
   42,578 : 99,449 = 99,449 : x
2. Step 2: Convert to fraction form
   42,578/99,449 = 99,449/x
3. Step 3: Cross multiply
   42,578x = 99,449 × 99,449
4. Step 4: Simplify right side
   42,578x = 9,890,103,601
5. Step 5: Solve for x
   x = 9,890,103,601/42,578
6. Step 6: Final answer
   x = 232,282.01