Finding the Third Proportional to 320,528 and 498,289.50

Step by Step Solution

1. Step 1: Write the proportion equation
   320,528 : 498,289.50 = 498,289.50 : x
2. Step 2: Convert to fraction form
   320,528/498,289.50 = 498,289.50/x
3. Step 3: Cross multiply
   320,528x = 498,289.50 × 498,289.50
4. Step 4: Simplify right side
   320,528x = 248,292,425,810.25
5. Step 5: Solve for x
   x = 248,292,425,810.25/320,528
6. Step 6: Final answer
   x = 774,635.68