Finding the Third Proportional to 194,253 and 300,006

Step by Step Solution

1. Step 1: Write the proportion equation
   194,253 : 300,006 = 300,006 : x
2. Step 2: Convert to fraction form
   194,253/300,006 = 300,006/x
3. Step 3: Cross multiply
   194,253x = 300,006 × 300,006
4. Step 4: Simplify right side
   194,253x = 90,003,600,036
5. Step 5: Solve for x
   x = 90,003,600,036/194,253
6. Step 6: Final answer
   x = 463,331.84