Finding the Third Proportional to 116,757 and 180,603

Step by Step Solution

1. Step 1: Write the proportion equation
   116,757 : 180,603 = 180,603 : x
2. Step 2: Convert to fraction form
   116,757/180,603 = 180,603/x
3. Step 3: Cross multiply
   116,757x = 180,603 × 180,603
4. Step 4: Simplify right side
   116,757x = 32,617,443,609
5. Step 5: Solve for x
   x = 32,617,443,609/116,757
6. Step 6: Final answer
   x = 279,361.78