Finding the Third Proportional to 144,724 and 222,583

Step by Step Solution

1. Step 1: Write the proportion equation
   144,724 : 222,583 = 222,583 : x
2. Step 2: Convert to fraction form
   144,724/222,583 = 222,583/x
3. Step 3: Cross multiply
   144,724x = 222,583 × 222,583
4. Step 4: Simplify right side
   144,724x = 49,543,191,889
5. Step 5: Solve for x
   x = 49,543,191,889/144,724
6. Step 6: Final answer
   x = 342,328.79