Finding the Third Proportional to 47,814.75 and 105,066

Step by Step Solution

1. Step 1: Write the proportion equation
   47,814.75 : 105,066 = 105,066 : x
2. Step 2: Convert to fraction form
   47,814.75/105,066 = 105,066/x
3. Step 3: Cross multiply
   47,814.75x = 105,066 × 105,066
4. Step 4: Simplify right side
   47,814.75x = 11,038,864,356
5. Step 5: Solve for x
   x = 11,038,864,356/47,814.75
6. Step 6: Final answer
   x = 230,867.34