Finding the Third Proportional to 201,832 and 456,096

Step by Step Solution

1. Step 1: Write the proportion equation
   201,832 : 456,096 = 456,096 : x
2. Step 2: Convert to fraction form
   201,832/456,096 = 456,096/x
3. Step 3: Cross multiply
   201,832x = 456,096 × 456,096
4. Step 4: Simplify right side
   201,832x = 208,023,561,216
5. Step 5: Solve for x
   x = 208,023,561,216/201,832
6. Step 6: Final answer
   x = 1,030,676.81