Finding the Third Proportional to 327,564 and 493,654.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,564 : 493,654.50 = 493,654.50 : x
2. Step 2: Convert to fraction form
   327,564/493,654.50 = 493,654.50/x
3. Step 3: Cross multiply
   327,564x = 493,654.50 × 493,654.50
4. Step 4: Simplify right side
   327,564x = 243,694,765,370.25
5. Step 5: Solve for x
   x = 243,694,765,370.25/327,564
6. Step 6: Final answer
   x = 743,960.77