Finding the Third Proportional to 208,546 and 458,564

Step by Step Solution

1. Step 1: Write the proportion equation
   208,546 : 458,564 = 458,564 : x
2. Step 2: Convert to fraction form
   208,546/458,564 = 458,564/x
3. Step 3: Cross multiply
   208,546x = 458,564 × 458,564
4. Step 4: Simplify right side
   208,546x = 210,280,942,096
5. Step 5: Solve for x
   x = 210,280,942,096/208,546
6. Step 6: Final answer
   x = 1,008,319.23