Finding the Third Proportional to 116,784 and 241,872

Step by Step Solution

1. Step 1: Write the proportion equation
   116,784 : 241,872 = 241,872 : x
2. Step 2: Convert to fraction form
   116,784/241,872 = 241,872/x
3. Step 3: Cross multiply
   116,784x = 241,872 × 241,872
4. Step 4: Simplify right side
   116,784x = 58,502,064,384
5. Step 5: Solve for x
   x = 58,502,064,384/116,784
6. Step 6: Final answer
   x = 500,942.46