Finding the Third Proportional to 105,546 and 224,046

Step by Step Solution

1. Step 1: Write the proportion equation
   105,546 : 224,046 = 224,046 : x
2. Step 2: Convert to fraction form
   105,546/224,046 = 224,046/x
3. Step 3: Cross multiply
   105,546x = 224,046 × 224,046
4. Step 4: Simplify right side
   105,546x = 50,196,610,116
5. Step 5: Solve for x
   x = 50,196,610,116/105,546
6. Step 6: Final answer
   x = 475,589.89