Finding the Third Proportional to 116,096 and 242,240

Step by Step Solution

1. Step 1: Write the proportion equation
   116,096 : 242,240 = 242,240 : x
2. Step 2: Convert to fraction form
   116,096/242,240 = 242,240/x
3. Step 3: Cross multiply
   116,096x = 242,240 × 242,240
4. Step 4: Simplify right side
   116,096x = 58,680,217,600
5. Step 5: Solve for x
   x = 58,680,217,600/116,096
6. Step 6: Final answer
   x = 505,445.64