Finding the Third Proportional to 194,096 and 294,648

Step by Step Solution

1. Step 1: Write the proportion equation
   194,096 : 294,648 = 294,648 : x
2. Step 2: Convert to fraction form
   194,096/294,648 = 294,648/x
3. Step 3: Cross multiply
   194,096x = 294,648 × 294,648
4. Step 4: Simplify right side
   194,096x = 86,817,443,904
5. Step 5: Solve for x
   x = 86,817,443,904/194,096
6. Step 6: Final answer
   x = 447,291.26