Finding the Third Proportional to 821,455 and 1,764,342

Step by Step Solution

1. Step 1: Write the proportion equation
   821,455 : 1,764,342 = 1,764,342 : x
2. Step 2: Convert to fraction form
   821,455/1,764,342 = 1,764,342/x
3. Step 3: Cross multiply
   821,455x = 1,764,342 × 1,764,342
4. Step 4: Simplify right side
   821,455x = 3,112,902,692,964
5. Step 5: Solve for x
   x = 3,112,902,692,964/821,455
6. Step 6: Final answer
   x = 3,789,498.75