Finding the Third Proportional to 359,472 and 476,996

Step by Step Solution

1. Step 1: Write the proportion equation
   359,472 : 476,996 = 476,996 : x
2. Step 2: Convert to fraction form
   359,472/476,996 = 476,996/x
3. Step 3: Cross multiply
   359,472x = 476,996 × 476,996
4. Step 4: Simplify right side
   359,472x = 227,525,184,016
5. Step 5: Solve for x
   x = 227,525,184,016/359,472
6. Step 6: Final answer
   x = 632,942.72