Finding the Third Proportional to 47,840 and 105,184

Step by Step Solution

1. Step 1: Write the proportion equation
   47,840 : 105,184 = 105,184 : x
2. Step 2: Convert to fraction form
   47,840/105,184 = 105,184/x
3. Step 3: Cross multiply
   47,840x = 105,184 × 105,184
4. Step 4: Simplify right side
   47,840x = 11,063,673,856
5. Step 5: Solve for x
   x = 11,063,673,856/47,840
6. Step 6: Final answer
   x = 231,264.09