Finding the Third Proportional to 47,853 and 105,354

Step by Step Solution

1. Step 1: Write the proportion equation
   47,853 : 105,354 = 105,354 : x
2. Step 2: Convert to fraction form
   47,853/105,354 = 105,354/x
3. Step 3: Cross multiply
   47,853x = 105,354 × 105,354
4. Step 4: Simplify right side
   47,853x = 11,099,465,316
5. Step 5: Solve for x
   x = 11,099,465,316/47,853
6. Step 6: Final answer
   x = 231,949.21