Finding the Third Proportional to 45,694 and 105,772

Step by Step Solution

1. Step 1: Write the proportion equation
   45,694 : 105,772 = 105,772 : x
2. Step 2: Convert to fraction form
   45,694/105,772 = 105,772/x
3. Step 3: Cross multiply
   45,694x = 105,772 × 105,772
4. Step 4: Simplify right side
   45,694x = 11,187,715,984
5. Step 5: Solve for x
   x = 11,187,715,984/45,694
6. Step 6: Final answer
   x = 244,839.93