Finding the Third Proportional to 222,436 and 463,300

Step by Step Solution

1. Step 1: Write the proportion equation
   222,436 : 463,300 = 463,300 : x
2. Step 2: Convert to fraction form
   222,436/463,300 = 463,300/x
3. Step 3: Cross multiply
   222,436x = 463,300 × 463,300
4. Step 4: Simplify right side
   222,436x = 214,646,890,000
5. Step 5: Solve for x
   x = 214,646,890,000/222,436
6. Step 6: Final answer
   x = 964,982.69