Finding the Third Proportional to 646,566 and 1,413,516

Step by Step Solution

1. Step 1: Write the proportion equation
   646,566 : 1,413,516 = 1,413,516 : x
2. Step 2: Convert to fraction form
   646,566/1,413,516 = 1,413,516/x
3. Step 3: Cross multiply
   646,566x = 1,413,516 × 1,413,516
4. Step 4: Simplify right side
   646,566x = 1,998,027,482,256
5. Step 5: Solve for x
   x = 1,998,027,482,256/646,566
6. Step 6: Final answer
   x = 3,090,214.27