Finding the Third Proportional to 320,522 and 685,513

Step by Step Solution

1. Step 1: Write the proportion equation
   320,522 : 685,513 = 685,513 : x
2. Step 2: Convert to fraction form
   320,522/685,513 = 685,513/x
3. Step 3: Cross multiply
   320,522x = 685,513 × 685,513
4. Step 4: Simplify right side
   320,522x = 469,928,073,169
5. Step 5: Solve for x
   x = 469,928,073,169/320,522
6. Step 6: Final answer
   x = 1,466,133.60