Finding the Third Proportional to 123,828 and 180,552

Step by Step Solution

1. Step 1: Write the proportion equation
   123,828 : 180,552 = 180,552 : x
2. Step 2: Convert to fraction form
   123,828/180,552 = 180,552/x
3. Step 3: Cross multiply
   123,828x = 180,552 × 180,552
4. Step 4: Simplify right side
   123,828x = 32,599,024,704
5. Step 5: Solve for x
   x = 32,599,024,704/123,828
6. Step 6: Final answer
   x = 263,260.53