Finding the Third Proportional to 114,481 and 175,139

Step by Step Solution

1. Step 1: Write the proportion equation
   114,481 : 175,139 = 175,139 : x
2. Step 2: Convert to fraction form
   114,481/175,139 = 175,139/x
3. Step 3: Cross multiply
   114,481x = 175,139 × 175,139
4. Step 4: Simplify right side
   114,481x = 30,673,669,321
5. Step 5: Solve for x
   x = 30,673,669,321/114,481
6. Step 6: Final answer
   x = 267,936.77