Finding the Third Proportional to 191,888 and 287,856

Step by Step Solution

1. Step 1: Write the proportion equation
   191,888 : 287,856 = 287,856 : x
2. Step 2: Convert to fraction form
   191,888/287,856 = 287,856/x
3. Step 3: Cross multiply
   191,888x = 287,856 × 287,856
4. Step 4: Simplify right side
   191,888x = 82,861,076,736
5. Step 5: Solve for x
   x = 82,861,076,736/191,888
6. Step 6: Final answer
   x = 431,820.00