Finding the Third Proportional to 107,820 and 233,966

Step by Step Solution

1. Step 1: Write the proportion equation
   107,820 : 233,966 = 233,966 : x
2. Step 2: Convert to fraction form
   107,820/233,966 = 233,966/x
3. Step 3: Cross multiply
   107,820x = 233,966 × 233,966
4. Step 4: Simplify right side
   107,820x = 54,740,089,156
5. Step 5: Solve for x
   x = 54,740,089,156/107,820
6. Step 6: Final answer
   x = 507,698.84