Finding the Third Proportional to 224,003 and 468,751

Step by Step Solution

1. Step 1: Write the proportion equation
   224,003 : 468,751 = 468,751 : x
2. Step 2: Convert to fraction form
   224,003/468,751 = 468,751/x
3. Step 3: Cross multiply
   224,003x = 468,751 × 468,751
4. Step 4: Simplify right side
   224,003x = 219,727,500,001
5. Step 5: Solve for x
   x = 219,727,500,001/224,003
6. Step 6: Final answer
   x = 980,913.20