Finding the Third Proportional to 87,686 and 191,772

Step by Step Solution

1. Step 1: Write the proportion equation
   87,686 : 191,772 = 191,772 : x
2. Step 2: Convert to fraction form
   87,686/191,772 = 191,772/x
3. Step 3: Cross multiply
   87,686x = 191,772 × 191,772
4. Step 4: Simplify right side
   87,686x = 36,776,499,984
5. Step 5: Solve for x
   x = 36,776,499,984/87,686
6. Step 6: Final answer
   x = 419,411.31