Finding the Third Proportional to 374,541 and 825,429

Step by Step Solution

1. Step 1: Write the proportion equation
   374,541 : 825,429 = 825,429 : x
2. Step 2: Convert to fraction form
   374,541/825,429 = 825,429/x
3. Step 3: Cross multiply
   374,541x = 825,429 × 825,429
4. Step 4: Simplify right side
   374,541x = 681,333,034,041
5. Step 5: Solve for x
   x = 681,333,034,041/374,541
6. Step 6: Final answer
   x = 1,819,114.69