Finding the Third Proportional to 316,969 and 648,513

Step by Step Solution

1. Step 1: Write the proportion equation
   316,969 : 648,513 = 648,513 : x
2. Step 2: Convert to fraction form
   316,969/648,513 = 648,513/x
3. Step 3: Cross multiply
   316,969x = 648,513 × 648,513
4. Step 4: Simplify right side
   316,969x = 420,569,111,169
5. Step 5: Solve for x
   x = 420,569,111,169/316,969
6. Step 6: Final answer
   x = 1,326,846.19