Finding the Third Proportional to 47,754 and 105,052

Step by Step Solution

1. Step 1: Write the proportion equation
   47,754 : 105,052 = 105,052 : x
2. Step 2: Convert to fraction form
   47,754/105,052 = 105,052/x
3. Step 3: Cross multiply
   47,754x = 105,052 × 105,052
4. Step 4: Simplify right side
   47,754x = 11,035,922,704
5. Step 5: Solve for x
   x = 11,035,922,704/47,754
6. Step 6: Final answer
   x = 231,099.44