Finding the Third Proportional to 107,456 and 230,766.75

Step by Step Solution

1. Step 1: Write the proportion equation
   107,456 : 230,766.75 = 230,766.75 : x
2. Step 2: Convert to fraction form
   107,456/230,766.75 = 230,766.75/x
3. Step 3: Cross multiply
   107,456x = 230,766.75 × 230,766.75
4. Step 4: Simplify right side
   107,456x = 53,253,292,905.56
5. Step 5: Solve for x
   x = 53,253,292,905.56/107,456
6. Step 6: Final answer
   x = 495,582.31