Finding the Third Proportional to 377,476 and 824,960

Step by Step Solution

1. Step 1: Write the proportion equation
   377,476 : 824,960 = 824,960 : x
2. Step 2: Convert to fraction form
   377,476/824,960 = 824,960/x
3. Step 3: Cross multiply
   377,476x = 824,960 × 824,960
4. Step 4: Simplify right side
   377,476x = 680,559,001,600
5. Step 5: Solve for x
   x = 680,559,001,600/377,476
6. Step 6: Final answer
   x = 1,802,919.92