Finding the Third Proportional to 116,982 and 174,693

Step by Step Solution

1. Step 1: Write the proportion equation
   116,982 : 174,693 = 174,693 : x
2. Step 2: Convert to fraction form
   116,982/174,693 = 174,693/x
3. Step 3: Cross multiply
   116,982x = 174,693 × 174,693
4. Step 4: Simplify right side
   116,982x = 30,517,644,249
5. Step 5: Solve for x
   x = 30,517,644,249/116,982
6. Step 6: Final answer
   x = 260,874.70