Finding the Third Proportional to 105,368 and 229,672

Step by Step Solution

1. Step 1: Write the proportion equation
   105,368 : 229,672 = 229,672 : x
2. Step 2: Convert to fraction form
   105,368/229,672 = 229,672/x
3. Step 3: Cross multiply
   105,368x = 229,672 × 229,672
4. Step 4: Simplify right side
   105,368x = 52,749,227,584
5. Step 5: Solve for x
   x = 52,749,227,584/105,368
6. Step 6: Final answer
   x = 500,619.05