Finding the Third Proportional to 103,640 and 223,822

Step by Step Solution

1. Step 1: Write the proportion equation
   103,640 : 223,822 = 223,822 : x
2. Step 2: Convert to fraction form
   103,640/223,822 = 223,822/x
3. Step 3: Cross multiply
   103,640x = 223,822 × 223,822
4. Step 4: Simplify right side
   103,640x = 50,096,287,684
5. Step 5: Solve for x
   x = 50,096,287,684/103,640
6. Step 6: Final answer
   x = 483,368.27