Finding the Third Proportional to 782,470 and 1,714,384

Step by Step Solution

1. Step 1: Write the proportion equation
   782,470 : 1,714,384 = 1,714,384 : x
2. Step 2: Convert to fraction form
   782,470/1,714,384 = 1,714,384/x
3. Step 3: Cross multiply
   782,470x = 1,714,384 × 1,714,384
4. Step 4: Simplify right side
   782,470x = 2,939,112,499,456
5. Step 5: Solve for x
   x = 2,939,112,499,456/782,470
6. Step 6: Final answer
   x = 3,756,198.32