Finding the Third Proportional to 201,825 and 456,082

Step by Step Solution

1. Step 1: Write the proportion equation
   201,825 : 456,082 = 456,082 : x
2. Step 2: Convert to fraction form
   201,825/456,082 = 456,082/x
3. Step 3: Cross multiply
   201,825x = 456,082 × 456,082
4. Step 4: Simplify right side
   201,825x = 208,010,790,724
5. Step 5: Solve for x
   x = 208,010,790,724/201,825
6. Step 6: Final answer
   x = 1,030,649.28