Finding the Third Proportional to 123,469 and 180,486

Step by Step Solution

1. Step 1: Write the proportion equation
   123,469 : 180,486 = 180,486 : x
2. Step 2: Convert to fraction form
   123,469/180,486 = 180,486/x
3. Step 3: Cross multiply
   123,469x = 180,486 × 180,486
4. Step 4: Simplify right side
   123,469x = 32,575,196,196
5. Step 5: Solve for x
   x = 32,575,196,196/123,469
6. Step 6: Final answer
   x = 263,833.00