Finding the Third Proportional to 723,829 and 1,429,492

Step by Step Solution

1. Step 1: Write the proportion equation
   723,829 : 1,429,492 = 1,429,492 : x
2. Step 2: Convert to fraction form
   723,829/1,429,492 = 1,429,492/x
3. Step 3: Cross multiply
   723,829x = 1,429,492 × 1,429,492
4. Step 4: Simplify right side
   723,829x = 2,043,447,378,064
5. Step 5: Solve for x
   x = 2,043,447,378,064/723,829
6. Step 6: Final answer
   x = 2,823,107.91