Finding the Third Proportional to 114,460 and 175,105

Step by Step Solution

1. Step 1: Write the proportion equation
   114,460 : 175,105 = 175,105 : x
2. Step 2: Convert to fraction form
   114,460/175,105 = 175,105/x
3. Step 3: Cross multiply
   114,460x = 175,105 × 175,105
4. Step 4: Simplify right side
   114,460x = 30,661,761,025
5. Step 5: Solve for x
   x = 30,661,761,025/114,460
6. Step 6: Final answer
   x = 267,881.89