Finding the Third Proportional to 377,264 and 824,488

Step by Step Solution

1. Step 1: Write the proportion equation
   377,264 : 824,488 = 824,488 : x
2. Step 2: Convert to fraction form
   377,264/824,488 = 824,488/x
3. Step 3: Cross multiply
   377,264x = 824,488 × 824,488
4. Step 4: Simplify right side
   377,264x = 679,780,462,144
5. Step 5: Solve for x
   x = 679,780,462,144/377,264
6. Step 6: Final answer
   x = 1,801,869.41