Finding the Third Proportional to 47,813 and 105,063

Step by Step Solution

1. Step 1: Write the proportion equation
   47,813 : 105,063 = 105,063 : x
2. Step 2: Convert to fraction form
   47,813/105,063 = 105,063/x
3. Step 3: Cross multiply
   47,813x = 105,063 × 105,063
4. Step 4: Simplify right side
   47,813x = 11,038,233,969
5. Step 5: Solve for x
   x = 11,038,233,969/47,813
6. Step 6: Final answer
   x = 230,862.61