Finding the Third Proportional to 224,724 and 477,152

Step by Step Solution

1. Step 1: Write the proportion equation
   224,724 : 477,152 = 477,152 : x
2. Step 2: Convert to fraction form
   224,724/477,152 = 477,152/x
3. Step 3: Cross multiply
   224,724x = 477,152 × 477,152
4. Step 4: Simplify right side
   224,724x = 227,674,031,104
5. Step 5: Solve for x
   x = 227,674,031,104/224,724
6. Step 6: Final answer
   x = 1,013,127.35