Finding the Third Proportional to 766,454 and 1,582,102

Step by Step Solution

1. Step 1: Write the proportion equation
   766,454 : 1,582,102 = 1,582,102 : x
2. Step 2: Convert to fraction form
   766,454/1,582,102 = 1,582,102/x
3. Step 3: Cross multiply
   766,454x = 1,582,102 × 1,582,102
4. Step 4: Simplify right side
   766,454x = 2,503,046,738,404
5. Step 5: Solve for x
   x = 2,503,046,738,404/766,454
6. Step 6: Final answer
   x = 3,265,749.46