Finding the Third Proportional to 113,003 and 175,082

Step by Step Solution

1. Step 1: Write the proportion equation
   113,003 : 175,082 = 175,082 : x
2. Step 2: Convert to fraction form
   113,003/175,082 = 175,082/x
3. Step 3: Cross multiply
   113,003x = 175,082 × 175,082
4. Step 4: Simplify right side
   113,003x = 30,653,706,724
5. Step 5: Solve for x
   x = 30,653,706,724/113,003
6. Step 6: Final answer
   x = 271,264.54