Finding the Third Proportional to 155,533.50 and 327,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   155,533.50 : 327,667.50 = 327,667.50 : x
2. Step 2: Convert to fraction form
   155,533.50/327,667.50 = 327,667.50/x
3. Step 3: Cross multiply
   155,533.50x = 327,667.50 × 327,667.50
4. Step 4: Simplify right side
   155,533.50x = 107,365,990,556.25
5. Step 5: Solve for x
   x = 107,365,990,556.25/155,533.50
6. Step 6: Final answer
   x = 690,307.82