Finding the Third Proportional to 191,857 and 287,786

Step by Step Solution

1. Step 1: Write the proportion equation
   191,857 : 287,786 = 287,786 : x
2. Step 2: Convert to fraction form
   191,857/287,786 = 287,786/x
3. Step 3: Cross multiply
   191,857x = 287,786 × 287,786
4. Step 4: Simplify right side
   191,857x = 82,820,781,796
5. Step 5: Solve for x
   x = 82,820,781,796/191,857
6. Step 6: Final answer
   x = 431,679.75