Finding the Third Proportional to 123,290 and 180,543

Step by Step Solution

1. Step 1: Write the proportion equation
   123,290 : 180,543 = 180,543 : x
2. Step 2: Convert to fraction form
   123,290/180,543 = 180,543/x
3. Step 3: Cross multiply
   123,290x = 180,543 × 180,543
4. Step 4: Simplify right side
   123,290x = 32,595,774,849
5. Step 5: Solve for x
   x = 32,595,774,849/123,290
6. Step 6: Final answer
   x = 264,382.96