Finding the Third Proportional to 208,588 and 458,636

Step by Step Solution

1. Step 1: Write the proportion equation
   208,588 : 458,636 = 458,636 : x
2. Step 2: Convert to fraction form
   208,588/458,636 = 458,636/x
3. Step 3: Cross multiply
   208,588x = 458,636 × 458,636
4. Step 4: Simplify right side
   208,588x = 210,346,980,496
5. Step 5: Solve for x
   x = 210,346,980,496/208,588
6. Step 6: Final answer
   x = 1,008,432.80