Finding the Third Proportional to 191,772 and 287,514

Step by Step Solution

1. Step 1: Write the proportion equation
   191,772 : 287,514 = 287,514 : x
2. Step 2: Convert to fraction form
   191,772/287,514 = 287,514/x
3. Step 3: Cross multiply
   191,772x = 287,514 × 287,514
4. Step 4: Simplify right side
   191,772x = 82,664,300,196
5. Step 5: Solve for x
   x = 82,664,300,196/191,772
6. Step 6: Final answer
   x = 431,055.11