Finding the Third Proportional to 123,460 and 180,802

Step by Step Solution

1. Step 1: Write the proportion equation
   123,460 : 180,802 = 180,802 : x
2. Step 2: Convert to fraction form
   123,460/180,802 = 180,802/x
3. Step 3: Cross multiply
   123,460x = 180,802 × 180,802
4. Step 4: Simplify right side
   123,460x = 32,689,363,204
5. Step 5: Solve for x
   x = 32,689,363,204/123,460
6. Step 6: Final answer
   x = 264,776.96