Finding the Third Proportional to 458,056 and 645,004

Step by Step Solution

1. Step 1: Write the proportion equation
   458,056 : 645,004 = 645,004 : x
2. Step 2: Convert to fraction form
   458,056/645,004 = 645,004/x
3. Step 3: Cross multiply
   458,056x = 645,004 × 645,004
4. Step 4: Simplify right side
   458,056x = 416,030,160,016
5. Step 5: Solve for x
   x = 416,030,160,016/458,056
6. Step 6: Final answer
   x = 908,251.74