Finding the Third Proportional to 116,698 and 237,680

Step by Step Solution

1. Step 1: Write the proportion equation
   116,698 : 237,680 = 237,680 : x
2. Step 2: Convert to fraction form
   116,698/237,680 = 237,680/x
3. Step 3: Cross multiply
   116,698x = 237,680 × 237,680
4. Step 4: Simplify right side
   116,698x = 56,491,782,400
5. Step 5: Solve for x
   x = 56,491,782,400/116,698
6. Step 6: Final answer
   x = 484,085.27