Finding the Third Proportional to 47,814 and 105,065

Step by Step Solution

1. Step 1: Write the proportion equation
   47,814 : 105,065 = 105,065 : x
2. Step 2: Convert to fraction form
   47,814/105,065 = 105,065/x
3. Step 3: Cross multiply
   47,814x = 105,065 × 105,065
4. Step 4: Simplify right side
   47,814x = 11,038,654,225
5. Step 5: Solve for x
   x = 11,038,654,225/47,814
6. Step 6: Final answer
   x = 230,866.57