Finding the Third Proportional to 116,784 and 241,870

Step by Step Solution

1. Step 1: Write the proportion equation
   116,784 : 241,870 = 241,870 : x
2. Step 2: Convert to fraction form
   116,784/241,870 = 241,870/x
3. Step 3: Cross multiply
   116,784x = 241,870 × 241,870
4. Step 4: Simplify right side
   116,784x = 58,501,096,900
5. Step 5: Solve for x
   x = 58,501,096,900/116,784
6. Step 6: Final answer
   x = 500,934.18