Finding the Third Proportional to 87,378 and 191,111

Step by Step Solution

1. Step 1: Write the proportion equation
   87,378 : 191,111 = 191,111 : x
2. Step 2: Convert to fraction form
   87,378/191,111 = 191,111/x
3. Step 3: Cross multiply
   87,378x = 191,111 × 191,111
4. Step 4: Simplify right side
   87,378x = 36,523,414,321
5. Step 5: Solve for x
   x = 36,523,414,321/87,378
6. Step 6: Final answer
   x = 417,993.25