Finding the Third Proportional to 123,864 and 182,880

Step by Step Solution

1. Step 1: Write the proportion equation
   123,864 : 182,880 = 182,880 : x
2. Step 2: Convert to fraction form
   123,864/182,880 = 182,880/x
3. Step 3: Cross multiply
   123,864x = 182,880 × 182,880
4. Step 4: Simplify right side
   123,864x = 33,445,094,400
5. Step 5: Solve for x
   x = 33,445,094,400/123,864
6. Step 6: Final answer
   x = 270,014.65