Finding the Third Proportional to 116,780 and 241,864

Step by Step Solution

1. Step 1: Write the proportion equation
   116,780 : 241,864 = 241,864 : x
2. Step 2: Convert to fraction form
   116,780/241,864 = 241,864/x
3. Step 3: Cross multiply
   116,780x = 241,864 × 241,864
4. Step 4: Simplify right side
   116,780x = 58,498,194,496
5. Step 5: Solve for x
   x = 58,498,194,496/116,780
6. Step 6: Final answer
   x = 500,926.48