Finding the Third Proportional to 320,610 and 500,323.50

Step by Step Solution

1. Step 1: Write the proportion equation
   320,610 : 500,323.50 = 500,323.50 : x
2. Step 2: Convert to fraction form
   320,610/500,323.50 = 500,323.50/x
3. Step 3: Cross multiply
   320,610x = 500,323.50 × 500,323.50
4. Step 4: Simplify right side
   320,610x = 250,323,604,652.25
5. Step 5: Solve for x
   x = 250,323,604,652.25/320,610
6. Step 6: Final answer
   x = 780,772.92