Finding the Third Proportional to 113,280 and 175,752

Step by Step Solution

1. Step 1: Write the proportion equation
   113,280 : 175,752 = 175,752 : x
2. Step 2: Convert to fraction form
   113,280/175,752 = 175,752/x
3. Step 3: Cross multiply
   113,280x = 175,752 × 175,752
4. Step 4: Simplify right side
   113,280x = 30,888,765,504
5. Step 5: Solve for x
   x = 30,888,765,504/113,280
6. Step 6: Final answer
   x = 272,676.25