Finding the Third Proportional to 116,624 and 241,546

Step by Step Solution

1. Step 1: Write the proportion equation
   116,624 : 241,546 = 241,546 : x
2. Step 2: Convert to fraction form
   116,624/241,546 = 241,546/x
3. Step 3: Cross multiply
   116,624x = 241,546 × 241,546
4. Step 4: Simplify right side
   116,624x = 58,344,470,116
5. Step 5: Solve for x
   x = 58,344,470,116/116,624
6. Step 6: Final answer
   x = 500,278.42