Finding the Third Proportional to 105,549 and 224,052

Step by Step Solution

1. Step 1: Write the proportion equation
   105,549 : 224,052 = 224,052 : x
2. Step 2: Convert to fraction form
   105,549/224,052 = 224,052/x
3. Step 3: Cross multiply
   105,549x = 224,052 × 224,052
4. Step 4: Simplify right side
   105,549x = 50,199,298,704
5. Step 5: Solve for x
   x = 50,199,298,704/105,549
6. Step 6: Final answer
   x = 475,601.84