Finding the Third Proportional to 47,424 and 109,791

Step by Step Solution

1. Step 1: Write the proportion equation
   47,424 : 109,791 = 109,791 : x
2. Step 2: Convert to fraction form
   47,424/109,791 = 109,791/x
3. Step 3: Cross multiply
   47,424x = 109,791 × 109,791
4. Step 4: Simplify right side
   47,424x = 12,054,063,681
5. Step 5: Solve for x
   x = 12,054,063,681/47,424
6. Step 6: Final answer
   x = 254,176.44