Finding the Third Proportional to 116,698 and 281,350

Step by Step Solution

1. Step 1: Write the proportion equation
   116,698 : 281,350 = 281,350 : x
2. Step 2: Convert to fraction form
   116,698/281,350 = 281,350/x
3. Step 3: Cross multiply
   116,698x = 281,350 × 281,350
4. Step 4: Simplify right side
   116,698x = 79,157,822,500
5. Step 5: Solve for x
   x = 79,157,822,500/116,698
6. Step 6: Final answer
   x = 678,313.45