Finding the Third Proportional to 208,754 and 456,892

Step by Step Solution

1. Step 1: Write the proportion equation
   208,754 : 456,892 = 456,892 : x
2. Step 2: Convert to fraction form
   208,754/456,892 = 456,892/x
3. Step 3: Cross multiply
   208,754x = 456,892 × 456,892
4. Step 4: Simplify right side
   208,754x = 208,750,299,664
5. Step 5: Solve for x
   x = 208,750,299,664/208,754
6. Step 6: Final answer
   x = 999,982.27