Finding the Third Proportional to 201,808 and 442,978

Step by Step Solution

1. Step 1: Write the proportion equation
   201,808 : 442,978 = 442,978 : x
2. Step 2: Convert to fraction form
   201,808/442,978 = 442,978/x
3. Step 3: Cross multiply
   201,808x = 442,978 × 442,978
4. Step 4: Simplify right side
   201,808x = 196,229,508,484
5. Step 5: Solve for x
   x = 196,229,508,484/201,808
6. Step 6: Final answer
   x = 972,357.43