Finding the Third Proportional to 194,258 and 300,012

Step by Step Solution

1. Step 1: Write the proportion equation
   194,258 : 300,012 = 300,012 : x
2. Step 2: Convert to fraction form
   194,258/300,012 = 300,012/x
3. Step 3: Cross multiply
   194,258x = 300,012 × 300,012
4. Step 4: Simplify right side
   194,258x = 90,007,200,144
5. Step 5: Solve for x
   x = 90,007,200,144/194,258
6. Step 6: Final answer
   x = 463,338.45