Finding the Third Proportional to 49,786 and 109,472

Step by Step Solution

1. Step 1: Write the proportion equation
   49,786 : 109,472 = 109,472 : x
2. Step 2: Convert to fraction form
   49,786/109,472 = 109,472/x
3. Step 3: Cross multiply
   49,786x = 109,472 × 109,472
4. Step 4: Simplify right side
   49,786x = 11,984,118,784
5. Step 5: Solve for x
   x = 11,984,118,784/49,786
6. Step 6: Final answer
   x = 240,712.63