Finding the Third Proportional to 47,739 and 111,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,739 : 111,007.50 = 111,007.50 : x
2. Step 2: Convert to fraction form
   47,739/111,007.50 = 111,007.50/x
3. Step 3: Cross multiply
   47,739x = 111,007.50 × 111,007.50
4. Step 4: Simplify right side
   47,739x = 12,322,665,056.25
5. Step 5: Solve for x
   x = 12,322,665,056.25/47,739
6. Step 6: Final answer
   x = 258,125.75