Finding the Third Proportional to 324,114 and 490,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   324,114 : 490,642.50 = 490,642.50 : x
2. Step 2: Convert to fraction form
   324,114/490,642.50 = 490,642.50/x
3. Step 3: Cross multiply
   324,114x = 490,642.50 × 490,642.50
4. Step 4: Simplify right side
   324,114x = 240,730,062,806.25
5. Step 5: Solve for x
   x = 240,730,062,806.25/324,114
6. Step 6: Final answer
   x = 742,732.69