Finding the Third Proportional to 191,844 and 287,768

Step by Step Solution

1. Step 1: Write the proportion equation
   191,844 : 287,768 = 287,768 : x
2. Step 2: Convert to fraction form
   191,844/287,768 = 287,768/x
3. Step 3: Cross multiply
   191,844x = 287,768 × 287,768
4. Step 4: Simplify right side
   191,844x = 82,810,421,824
5. Step 5: Solve for x
   x = 82,810,421,824/191,844
6. Step 6: Final answer
   x = 431,655.00