Finding the Third Proportional to 160,213.50 and 215,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   160,213.50 : 215,667.50 = 215,667.50 : x
2. Step 2: Convert to fraction form
   160,213.50/215,667.50 = 215,667.50/x
3. Step 3: Cross multiply
   160,213.50x = 215,667.50 × 215,667.50
4. Step 4: Simplify right side
   160,213.50x = 46,512,470,556.25
5. Step 5: Solve for x
   x = 46,512,470,556.25/160,213.50
6. Step 6: Final answer
   x = 290,315.55