Finding the Third Proportional to 224,678 and 477,064

Step by Step Solution

1. Step 1: Write the proportion equation
   224,678 : 477,064 = 477,064 : x
2. Step 2: Convert to fraction form
   224,678/477,064 = 477,064/x
3. Step 3: Cross multiply
   224,678x = 477,064 × 477,064
4. Step 4: Simplify right side
   224,678x = 227,590,060,096
5. Step 5: Solve for x
   x = 227,590,060,096/224,678
6. Step 6: Final answer
   x = 1,012,961.04