Finding the Third Proportional to 47,938.50 and 111,969

Step by Step Solution

1. Step 1: Write the proportion equation
   47,938.50 : 111,969 = 111,969 : x
2. Step 2: Convert to fraction form
   47,938.50/111,969 = 111,969/x
3. Step 3: Cross multiply
   47,938.50x = 111,969 × 111,969
4. Step 4: Simplify right side
   47,938.50x = 12,537,056,961
5. Step 5: Solve for x
   x = 12,537,056,961/47,938.50
6. Step 6: Final answer
   x = 261,523.76