Finding the Third Proportional to 216,096 and 341,908

Step by Step Solution

1. Step 1: Write the proportion equation
   216,096 : 341,908 = 341,908 : x
2. Step 2: Convert to fraction form
   216,096/341,908 = 341,908/x
3. Step 3: Cross multiply
   216,096x = 341,908 × 341,908
4. Step 4: Simplify right side
   216,096x = 116,901,080,464
5. Step 5: Solve for x
   x = 116,901,080,464/216,096
6. Step 6: Final answer
   x = 540,968.28