Finding the Third Proportional to 223,880 and 488,464

Step by Step Solution

1. Step 1: Write the proportion equation
   223,880 : 488,464 = 488,464 : x
2. Step 2: Convert to fraction form
   223,880/488,464 = 488,464/x
3. Step 3: Cross multiply
   223,880x = 488,464 × 488,464
4. Step 4: Simplify right side
   223,880x = 238,597,079,296
5. Step 5: Solve for x
   x = 238,597,079,296/223,880
6. Step 6: Final answer
   x = 1,065,736.46