Finding the Third Proportional to 116,696 and 281,345

Step by Step Solution

1. Step 1: Write the proportion equation
   116,696 : 281,345 = 281,345 : x
2. Step 2: Convert to fraction form
   116,696/281,345 = 281,345/x
3. Step 3: Cross multiply
   116,696x = 281,345 × 281,345
4. Step 4: Simplify right side
   116,696x = 79,155,009,025
5. Step 5: Solve for x
   x = 79,155,009,025/116,696
6. Step 6: Final answer
   x = 678,300.96