Finding the Third Proportional to 47,913 and 105,243

Step by Step Solution

1. Step 1: Write the proportion equation
   47,913 : 105,243 = 105,243 : x
2. Step 2: Convert to fraction form
   47,913/105,243 = 105,243/x
3. Step 3: Cross multiply
   47,913x = 105,243 × 105,243
4. Step 4: Simplify right side
   47,913x = 11,076,089,049
5. Step 5: Solve for x
   x = 11,076,089,049/47,913
6. Step 6: Final answer
   x = 231,170.85