Finding the Third Proportional to 105,003 and 230,418

Step by Step Solution

1. Step 1: Write the proportion equation
   105,003 : 230,418 = 230,418 : x
2. Step 2: Convert to fraction form
   105,003/230,418 = 230,418/x
3. Step 3: Cross multiply
   105,003x = 230,418 × 230,418
4. Step 4: Simplify right side
   105,003x = 53,092,454,724
5. Step 5: Solve for x
   x = 53,092,454,724/105,003
6. Step 6: Final answer
   x = 505,627.98