Finding the Third Proportional to 105,994 and 224,624

Step by Step Solution

1. Step 1: Write the proportion equation
   105,994 : 224,624 = 224,624 : x
2. Step 2: Convert to fraction form
   105,994/224,624 = 224,624/x
3. Step 3: Cross multiply
   105,994x = 224,624 × 224,624
4. Step 4: Simplify right side
   105,994x = 50,455,941,376
5. Step 5: Solve for x
   x = 50,455,941,376/105,994
6. Step 6: Final answer
   x = 476,026.39