Finding the Third Proportional to 116,274 and 174,411

Step by Step Solution

1. Step 1: Write the proportion equation
   116,274 : 174,411 = 174,411 : x
2. Step 2: Convert to fraction form
   116,274/174,411 = 174,411/x
3. Step 3: Cross multiply
   116,274x = 174,411 × 174,411
4. Step 4: Simplify right side
   116,274x = 30,419,196,921
5. Step 5: Solve for x
   x = 30,419,196,921/116,274
6. Step 6: Final answer
   x = 261,616.50