Finding the Third Proportional to 115,393.50 and 174,627

Step by Step Solution

1. Step 1: Write the proportion equation
   115,393.50 : 174,627 = 174,627 : x
2. Step 2: Convert to fraction form
   115,393.50/174,627 = 174,627/x
3. Step 3: Cross multiply
   115,393.50x = 174,627 × 174,627
4. Step 4: Simplify right side
   115,393.50x = 30,494,589,129
5. Step 5: Solve for x
   x = 30,494,589,129/115,393.50
6. Step 6: Final answer
   x = 264,266.09