Finding the Third Proportional to 327,185 and 490,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   327,185 : 490,777.50 = 490,777.50 : x
2. Step 2: Convert to fraction form
   327,185/490,777.50 = 490,777.50/x
3. Step 3: Cross multiply
   327,185x = 490,777.50 × 490,777.50
4. Step 4: Simplify right side
   327,185x = 240,862,554,506.25
5. Step 5: Solve for x
   x = 240,862,554,506.25/327,185
6. Step 6: Final answer
   x = 736,166.25