Finding the Third Proportional to 516,141 and 1,214,519

Step by Step Solution

1. Step 1: Write the proportion equation
   516,141 : 1,214,519 = 1,214,519 : x
2. Step 2: Convert to fraction form
   516,141/1,214,519 = 1,214,519/x
3. Step 3: Cross multiply
   516,141x = 1,214,519 × 1,214,519
4. Step 4: Simplify right side
   516,141x = 1,475,056,401,361
5. Step 5: Solve for x
   x = 1,475,056,401,361/516,141
6. Step 6: Final answer
   x = 2,857,855.51