Finding the Third Proportional to 116,981 and 174,692

Step by Step Solution

1. Step 1: Write the proportion equation
   116,981 : 174,692 = 174,692 : x
2. Step 2: Convert to fraction form
   116,981/174,692 = 174,692/x
3. Step 3: Cross multiply
   116,981x = 174,692 × 174,692
4. Step 4: Simplify right side
   116,981x = 30,517,294,864
5. Step 5: Solve for x
   x = 30,517,294,864/116,981
6. Step 6: Final answer
   x = 260,873.94