Finding the Third Proportional to 123,289 and 180,541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,289 : 180,541.50 = 180,541.50 : x
2. Step 2: Convert to fraction form
   123,289/180,541.50 = 180,541.50/x
3. Step 3: Cross multiply
   123,289x = 180,541.50 × 180,541.50
4. Step 4: Simplify right side
   123,289x = 32,595,233,222.25
5. Step 5: Solve for x
   x = 32,595,233,222.25/123,289
6. Step 6: Final answer
   x = 264,380.71