Finding the Third Proportional to 194,258 and 300,014

Step by Step Solution

1. Step 1: Write the proportion equation
   194,258 : 300,014 = 300,014 : x
2. Step 2: Convert to fraction form
   194,258/300,014 = 300,014/x
3. Step 3: Cross multiply
   194,258x = 300,014 × 300,014
4. Step 4: Simplify right side
   194,258x = 90,008,400,196
5. Step 5: Solve for x
   x = 90,008,400,196/194,258
6. Step 6: Final answer
   x = 463,344.63