Finding the Third Proportional to 47,897 and 111,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,897 : 111,870.50 = 111,870.50 : x
2. Step 2: Convert to fraction form
   47,897/111,870.50 = 111,870.50/x
3. Step 3: Cross multiply
   47,897x = 111,870.50 × 111,870.50
4. Step 4: Simplify right side
   47,897x = 12,515,008,770.25
5. Step 5: Solve for x
   x = 12,515,008,770.25/47,897
6. Step 6: Final answer
   x = 261,290.03