Finding the Third Proportional to 766,464 and 1,582,122

Step by Step Solution

1. Step 1: Write the proportion equation
   766,464 : 1,582,122 = 1,582,122 : x
2. Step 2: Convert to fraction form
   766,464/1,582,122 = 1,582,122/x
3. Step 3: Cross multiply
   766,464x = 1,582,122 × 1,582,122
4. Step 4: Simplify right side
   766,464x = 2,503,110,022,884
5. Step 5: Solve for x
   x = 2,503,110,022,884/766,464
6. Step 6: Final answer
   x = 3,265,789.42