Finding the Third Proportional to 137,808 and 194,049

Step by Step Solution

1. Step 1: Write the proportion equation
   137,808 : 194,049 = 194,049 : x
2. Step 2: Convert to fraction form
   137,808/194,049 = 194,049/x
3. Step 3: Cross multiply
   137,808x = 194,049 × 194,049
4. Step 4: Simplify right side
   137,808x = 37,655,014,401
5. Step 5: Solve for x
   x = 37,655,014,401/137,808
6. Step 6: Final answer
   x = 273,242.59