Finding the Third Proportional to 107,840 and 234,004

Step by Step Solution

1. Step 1: Write the proportion equation
   107,840 : 234,004 = 234,004 : x
2. Step 2: Convert to fraction form
   107,840/234,004 = 234,004/x
3. Step 3: Cross multiply
   107,840x = 234,004 × 234,004
4. Step 4: Simplify right side
   107,840x = 54,757,872,016
5. Step 5: Solve for x
   x = 54,757,872,016/107,840
6. Step 6: Final answer
   x = 507,769.58