Finding the Third Proportional to 123,255 and 180,495

Step by Step Solution

1. Step 1: Write the proportion equation
   123,255 : 180,495 = 180,495 : x
2. Step 2: Convert to fraction form
   123,255/180,495 = 180,495/x
3. Step 3: Cross multiply
   123,255x = 180,495 × 180,495
4. Step 4: Simplify right side
   123,255x = 32,578,445,025
5. Step 5: Solve for x
   x = 32,578,445,025/123,255
6. Step 6: Final answer
   x = 264,317.43