Finding the Third Proportional to 111,838 and 223,594

Step by Step Solution

1. Step 1: Write the proportion equation
   111,838 : 223,594 = 223,594 : x
2. Step 2: Convert to fraction form
   111,838/223,594 = 223,594/x
3. Step 3: Cross multiply
   111,838x = 223,594 × 223,594
4. Step 4: Simplify right side
   111,838x = 49,994,276,836
5. Step 5: Solve for x
   x = 49,994,276,836/111,838
6. Step 6: Final answer
   x = 447,024.06