Finding the Third Proportional to 47,189.25 and 102,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,189.25 : 102,667.50 = 102,667.50 : x
2. Step 2: Convert to fraction form
   47,189.25/102,667.50 = 102,667.50/x
3. Step 3: Cross multiply
   47,189.25x = 102,667.50 × 102,667.50
4. Step 4: Simplify right side
   47,189.25x = 10,540,615,556.25
5. Step 5: Solve for x
   x = 10,540,615,556.25/47,189.25
6. Step 6: Final answer
   x = 223,369.00