Finding the Third Proportional to 127,022 and 174,333

Step by Step Solution

1. Step 1: Write the proportion equation
   127,022 : 174,333 = 174,333 : x
2. Step 2: Convert to fraction form
   127,022/174,333 = 174,333/x
3. Step 3: Cross multiply
   127,022x = 174,333 × 174,333
4. Step 4: Simplify right side
   127,022x = 30,391,994,889
5. Step 5: Solve for x
   x = 30,391,994,889/127,022
6. Step 6: Final answer
   x = 239,265.60