Finding the Third Proportional to 117,684 and 241,569.75

Step by Step Solution

1. Step 1: Write the proportion equation
   117,684 : 241,569.75 = 241,569.75 : x
2. Step 2: Convert to fraction form
   117,684/241,569.75 = 241,569.75/x
3. Step 3: Cross multiply
   117,684x = 241,569.75 × 241,569.75
4. Step 4: Simplify right side
   117,684x = 58,355,944,115.06
5. Step 5: Solve for x
   x = 58,355,944,115.06/117,684
6. Step 6: Final answer
   x = 495,869.82