Finding the Third Proportional to 123,096 and 182,340

Step by Step Solution

1. Step 1: Write the proportion equation
   123,096 : 182,340 = 182,340 : x
2. Step 2: Convert to fraction form
   123,096/182,340 = 182,340/x
3. Step 3: Cross multiply
   123,096x = 182,340 × 182,340
4. Step 4: Simplify right side
   123,096x = 33,247,875,600
5. Step 5: Solve for x
   x = 33,247,875,600/123,096
6. Step 6: Final answer
   x = 270,097.12