Finding the Third Proportional to 105,100 and 230,640

Step by Step Solution

1. Step 1: Write the proportion equation
   105,100 : 230,640 = 230,640 : x
2. Step 2: Convert to fraction form
   105,100/230,640 = 230,640/x
3. Step 3: Cross multiply
   105,100x = 230,640 × 230,640
4. Step 4: Simplify right side
   105,100x = 53,194,809,600
5. Step 5: Solve for x
   x = 53,194,809,600/105,100
6. Step 6: Final answer
   x = 506,135.20