Finding the Third Proportional to 47,353 and 105,216

Step by Step Solution

1. Step 1: Write the proportion equation
   47,353 : 105,216 = 105,216 : x
2. Step 2: Convert to fraction form
   47,353/105,216 = 105,216/x
3. Step 3: Cross multiply
   47,353x = 105,216 × 105,216
4. Step 4: Simplify right side
   47,353x = 11,070,406,656
5. Step 5: Solve for x
   x = 11,070,406,656/47,353
6. Step 6: Final answer
   x = 233,784.69