Finding the Third Proportional to 402,345 and 876,834

Step by Step Solution

1. Step 1: Write the proportion equation
   402,345 : 876,834 = 876,834 : x
2. Step 2: Convert to fraction form
   402,345/876,834 = 876,834/x
3. Step 3: Cross multiply
   402,345x = 876,834 × 876,834
4. Step 4: Simplify right side
   402,345x = 768,837,863,556
5. Step 5: Solve for x
   x = 768,837,863,556/402,345
6. Step 6: Final answer
   x = 1,910,892.05