Finding the Third Proportional to 199,788,797,528 and 287,166,627,876

Step by Step Solution

1. Step 1: Write the proportion equation
   199,788,797,528 : 287,166,627,876 = 287,166,627,876 : x
2. Step 2: Convert to fraction form
   199,788,797,528/287,166,627,876 = 287,166,627,876/x
3. Step 3: Cross multiply
   199,788,797,528x = 287,166,627,876 × 287,166,627,876
4. Step 4: Simplify right side
   199,788,797,528x = 82,464,672,165,673,052,405,760
5. Step 5: Solve for x
   x = 82,464,672,165,673,052,405,760/199,788,797,528
6. Step 6: Final answer
   x = 412,759,239,687.18