Finding the Third Proportional to 82,903.50 and 194,874

Step by Step Solution

1. Step 1: Write the proportion equation
   82,903.50 : 194,874 = 194,874 : x
2. Step 2: Convert to fraction form
   82,903.50/194,874 = 194,874/x
3. Step 3: Cross multiply
   82,903.50x = 194,874 × 194,874
4. Step 4: Simplify right side
   82,903.50x = 37,975,875,876
5. Step 5: Solve for x
   x = 37,975,875,876/82,903.50
6. Step 6: Final answer
   x = 458,073.25