Finding the Third Proportional to 766,456 and 1,582,106

Step by Step Solution

1. Step 1: Write the proportion equation
   766,456 : 1,582,106 = 1,582,106 : x
2. Step 2: Convert to fraction form
   766,456/1,582,106 = 1,582,106/x
3. Step 3: Cross multiply
   766,456x = 1,582,106 × 1,582,106
4. Step 4: Simplify right side
   766,456x = 2,503,059,395,236
5. Step 5: Solve for x
   x = 2,503,059,395,236/766,456
6. Step 6: Final answer
   x = 3,265,757.45