Finding the Third Proportional to 116,538 and 174,743

Step by Step Solution

1. Step 1: Write the proportion equation
   116,538 : 174,743 = 174,743 : x
2. Step 2: Convert to fraction form
   116,538/174,743 = 174,743/x
3. Step 3: Cross multiply
   116,538x = 174,743 × 174,743
4. Step 4: Simplify right side
   116,538x = 30,535,116,049
5. Step 5: Solve for x
   x = 30,535,116,049/116,538
6. Step 6: Final answer
   x = 262,018.54