Finding the Third Proportional to 301,582.50 and 649,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,582.50 : 649,498.50 = 649,498.50 : x
2. Step 2: Convert to fraction form
   301,582.50/649,498.50 = 649,498.50/x
3. Step 3: Cross multiply
   301,582.50x = 649,498.50 × 649,498.50
4. Step 4: Simplify right side
   301,582.50x = 421,848,301,502.25
5. Step 5: Solve for x
   x = 421,848,301,502.25/301,582.50
6. Step 6: Final answer
   x = 1,398,782.43