Finding the Third Proportional to 105,192 and 229,390

Step by Step Solution

1. Step 1: Write the proportion equation
   105,192 : 229,390 = 229,390 : x
2. Step 2: Convert to fraction form
   105,192/229,390 = 229,390/x
3. Step 3: Cross multiply
   105,192x = 229,390 × 229,390
4. Step 4: Simplify right side
   105,192x = 52,619,772,100
5. Step 5: Solve for x
   x = 52,619,772,100/105,192
6. Step 6: Final answer
   x = 500,225.99