Finding the Third Proportional to 462,896 and 721,410

Step by Step Solution

1. Step 1: Write the proportion equation
   462,896 : 721,410 = 721,410 : x
2. Step 2: Convert to fraction form
   462,896/721,410 = 721,410/x
3. Step 3: Cross multiply
   462,896x = 721,410 × 721,410
4. Step 4: Simplify right side
   462,896x = 520,432,388,100
5. Step 5: Solve for x
   x = 520,432,388,100/462,896
6. Step 6: Final answer
   x = 1,124,296.58