Finding the Third Proportional to 46,959.75 and 102,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,959.75 : 102,667.50 = 102,667.50 : x
2. Step 2: Convert to fraction form
   46,959.75/102,667.50 = 102,667.50/x
3. Step 3: Cross multiply
   46,959.75x = 102,667.50 × 102,667.50
4. Step 4: Simplify right side
   46,959.75x = 10,540,615,556.25
5. Step 5: Solve for x
   x = 10,540,615,556.25/46,959.75
6. Step 6: Final answer
   x = 224,460.64