Finding the Third Proportional to 210,556 and 456,584

Step by Step Solution

1. Step 1: Write the proportion equation
   210,556 : 456,584 = 456,584 : x
2. Step 2: Convert to fraction form
   210,556/456,584 = 456,584/x
3. Step 3: Cross multiply
   210,556x = 456,584 × 456,584
4. Step 4: Simplify right side
   210,556x = 208,468,949,056
5. Step 5: Solve for x
   x = 208,468,949,056/210,556
6. Step 6: Final answer
   x = 990,087.91