Finding the Third Proportional to 114,532 and 174,759

Step by Step Solution

1. Step 1: Write the proportion equation
   114,532 : 174,759 = 174,759 : x
2. Step 2: Convert to fraction form
   114,532/174,759 = 174,759/x
3. Step 3: Cross multiply
   114,532x = 174,759 × 174,759
4. Step 4: Simplify right side
   114,532x = 30,540,708,081
5. Step 5: Solve for x
   x = 30,540,708,081/114,532
6. Step 6: Final answer
   x = 266,656.55