Finding the Third Proportional to 107,144 and 230,412

Step by Step Solution

1. Step 1: Write the proportion equation
   107,144 : 230,412 = 230,412 : x
2. Step 2: Convert to fraction form
   107,144/230,412 = 230,412/x
3. Step 3: Cross multiply
   107,144x = 230,412 × 230,412
4. Step 4: Simplify right side
   107,144x = 53,089,689,744
5. Step 5: Solve for x
   x = 53,089,689,744/107,144
6. Step 6: Final answer
   x = 495,498.49