Finding the Third Proportional to 116,525 and 174,727

Step by Step Solution

1. Step 1: Write the proportion equation
   116,525 : 174,727 = 174,727 : x
2. Step 2: Convert to fraction form
   116,525/174,727 = 174,727/x
3. Step 3: Cross multiply
   116,525x = 174,727 × 174,727
4. Step 4: Simplify right side
   116,525x = 30,529,524,529
5. Step 5: Solve for x
   x = 30,529,524,529/116,525
6. Step 6: Final answer
   x = 261,999.78