Finding the Third Proportional to 116,502 and 174,573

Step by Step Solution

1. Step 1: Write the proportion equation
   116,502 : 174,573 = 174,573 : x
2. Step 2: Convert to fraction form
   116,502/174,573 = 174,573/x
3. Step 3: Cross multiply
   116,502x = 174,573 × 174,573
4. Step 4: Simplify right side
   116,502x = 30,475,732,329
5. Step 5: Solve for x
   x = 30,475,732,329/116,502
6. Step 6: Final answer
   x = 261,589.78