Finding the Third Proportional to 829,460 and 1,819,624

Step by Step Solution

1. Step 1: Write the proportion equation
   829,460 : 1,819,624 = 1,819,624 : x
2. Step 2: Convert to fraction form
   829,460/1,819,624 = 1,819,624/x
3. Step 3: Cross multiply
   829,460x = 1,819,624 × 1,819,624
4. Step 4: Simplify right side
   829,460x = 3,311,031,501,376
5. Step 5: Solve for x
   x = 3,311,031,501,376/829,460
6. Step 6: Final answer
   x = 3,991,791.65