Finding the Third Proportional to 113,024 and 175,114

Step by Step Solution

1. Step 1: Write the proportion equation
   113,024 : 175,114 = 175,114 : x
2. Step 2: Convert to fraction form
   113,024/175,114 = 175,114/x
3. Step 3: Cross multiply
   113,024x = 175,114 × 175,114
4. Step 4: Simplify right side
   113,024x = 30,664,912,996
5. Step 5: Solve for x
   x = 30,664,912,996/113,024
6. Step 6: Final answer
   x = 271,313.29