Finding the Third Proportional to 123,852 and 180,588

Step by Step Solution

1. Step 1: Write the proportion equation
   123,852 : 180,588 = 180,588 : x
2. Step 2: Convert to fraction form
   123,852/180,588 = 180,588/x
3. Step 3: Cross multiply
   123,852x = 180,588 × 180,588
4. Step 4: Simplify right side
   123,852x = 32,612,025,744
5. Step 5: Solve for x
   x = 32,612,025,744/123,852
6. Step 6: Final answer
   x = 263,314.49