Finding the Third Proportional to 327,630 and 493,753.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,630 : 493,753.50 = 493,753.50 : x
2. Step 2: Convert to fraction form
   327,630/493,753.50 = 493,753.50/x
3. Step 3: Cross multiply
   327,630x = 493,753.50 × 493,753.50
4. Step 4: Simplify right side
   327,630x = 243,792,518,762.25
5. Step 5: Solve for x
   x = 243,792,518,762.25/327,630
6. Step 6: Final answer
   x = 744,109.27