Finding the Third Proportional to 116,288 and 174,576

Step by Step Solution

1. Step 1: Write the proportion equation
   116,288 : 174,576 = 174,576 : x
2. Step 2: Convert to fraction form
   116,288/174,576 = 174,576/x
3. Step 3: Cross multiply
   116,288x = 174,576 × 174,576
4. Step 4: Simplify right side
   116,288x = 30,476,779,776
5. Step 5: Solve for x
   x = 30,476,779,776/116,288
6. Step 6: Final answer
   x = 262,080.18