Finding the Third Proportional to 137,076 and 204,476

Step by Step Solution

1. Step 1: Write the proportion equation
   137,076 : 204,476 = 204,476 : x
2. Step 2: Convert to fraction form
   137,076/204,476 = 204,476/x
3. Step 3: Cross multiply
   137,076x = 204,476 × 204,476
4. Step 4: Simplify right side
   137,076x = 41,810,434,576
5. Step 5: Solve for x
   x = 41,810,434,576/137,076
6. Step 6: Final answer
   x = 305,016.45