Finding the Third Proportional to 327,186 and 488,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,186 : 488,824.50 = 488,824.50 : x
2. Step 2: Convert to fraction form
   327,186/488,824.50 = 488,824.50/x
3. Step 3: Cross multiply
   327,186x = 488,824.50 × 488,824.50
4. Step 4: Simplify right side
   327,186x = 238,949,391,800.25
5. Step 5: Solve for x
   x = 238,949,391,800.25/327,186
6. Step 6: Final answer
   x = 730,316.68