Finding the Third Proportional to 327,592 and 493,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,592 : 493,696.50 = 493,696.50 : x
2. Step 2: Convert to fraction form
   327,592/493,696.50 = 493,696.50/x
3. Step 3: Cross multiply
   327,592x = 493,696.50 × 493,696.50
4. Step 4: Simplify right side
   327,592x = 243,736,234,112.25
5. Step 5: Solve for x
   x = 243,736,234,112.25/327,592
6. Step 6: Final answer
   x = 744,023.77