Finding the Third Proportional to 646,564.50 and 1,413,513

Step by Step Solution

1. Step 1: Write the proportion equation
   646,564.50 : 1,413,513 = 1,413,513 : x
2. Step 2: Convert to fraction form
   646,564.50/1,413,513 = 1,413,513/x
3. Step 3: Cross multiply
   646,564.50x = 1,413,513 × 1,413,513
4. Step 4: Simplify right side
   646,564.50x = 1,998,019,001,169
5. Step 5: Solve for x
   x = 1,998,019,001,169/646,564.50
6. Step 6: Final answer
   x = 3,090,208.33