Finding the Third Proportional to 123,412 and 180,510

Step by Step Solution

1. Step 1: Write the proportion equation
   123,412 : 180,510 = 180,510 : x
2. Step 2: Convert to fraction form
   123,412/180,510 = 180,510/x
3. Step 3: Cross multiply
   123,412x = 180,510 × 180,510
4. Step 4: Simplify right side
   123,412x = 32,583,860,100
5. Step 5: Solve for x
   x = 32,583,860,100/123,412
6. Step 6: Final answer
   x = 264,025.06