Finding the Third Proportional to 205,813 and 450,978

Step by Step Solution

1. Step 1: Write the proportion equation
   205,813 : 450,978 = 450,978 : x
2. Step 2: Convert to fraction form
   205,813/450,978 = 450,978/x
3. Step 3: Cross multiply
   205,813x = 450,978 × 450,978
4. Step 4: Simplify right side
   205,813x = 203,381,156,484
5. Step 5: Solve for x
   x = 203,381,156,484/205,813
6. Step 6: Final answer
   x = 988,184.21