Finding the Third Proportional to 108,689 and 224,362

Step by Step Solution

1. Step 1: Write the proportion equation
   108,689 : 224,362 = 224,362 : x
2. Step 2: Convert to fraction form
   108,689/224,362 = 224,362/x
3. Step 3: Cross multiply
   108,689x = 224,362 × 224,362
4. Step 4: Simplify right side
   108,689x = 50,338,307,044
5. Step 5: Solve for x
   x = 50,338,307,044/108,689
6. Step 6: Final answer
   x = 463,140.77