Finding the Third Proportional to 219,826 and 473,780

Step by Step Solution

1. Step 1: Write the proportion equation
   219,826 : 473,780 = 473,780 : x
2. Step 2: Convert to fraction form
   219,826/473,780 = 473,780/x
3. Step 3: Cross multiply
   219,826x = 473,780 × 473,780
4. Step 4: Simplify right side
   219,826x = 224,467,488,400
5. Step 5: Solve for x
   x = 224,467,488,400/219,826
6. Step 6: Final answer
   x = 1,021,114.37