Finding the Third Proportional to 105,094 and 230,628

Step by Step Solution

1. Step 1: Write the proportion equation
   105,094 : 230,628 = 230,628 : x
2. Step 2: Convert to fraction form
   105,094/230,628 = 230,628/x
3. Step 3: Cross multiply
   105,094x = 230,628 × 230,628
4. Step 4: Simplify right side
   105,094x = 53,189,274,384
5. Step 5: Solve for x
   x = 53,189,274,384/105,094
6. Step 6: Final answer
   x = 506,111.43