Finding the Third Proportional to 47,886 and 105,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,886 : 105,559.50 = 105,559.50 : x
2. Step 2: Convert to fraction form
   47,886/105,559.50 = 105,559.50/x
3. Step 3: Cross multiply
   47,886x = 105,559.50 × 105,559.50
4. Step 4: Simplify right side
   47,886x = 11,142,808,040.25
5. Step 5: Solve for x
   x = 11,142,808,040.25/47,886
6. Step 6: Final answer
   x = 232,694.48