Finding the Third Proportional to 201,828 and 456,086

Step by Step Solution

1. Step 1: Write the proportion equation
   201,828 : 456,086 = 456,086 : x
2. Step 2: Convert to fraction form
   201,828/456,086 = 456,086/x
3. Step 3: Cross multiply
   201,828x = 456,086 × 456,086
4. Step 4: Simplify right side
   201,828x = 208,014,439,396
5. Step 5: Solve for x
   x = 208,014,439,396/201,828
6. Step 6: Final answer
   x = 1,030,652.04