Finding the Third Proportional to 87,434 and 191,680

Step by Step Solution

1. Step 1: Write the proportion equation
   87,434 : 191,680 = 191,680 : x
2. Step 2: Convert to fraction form
   87,434/191,680 = 191,680/x
3. Step 3: Cross multiply
   87,434x = 191,680 × 191,680
4. Step 4: Simplify right side
   87,434x = 36,741,222,400
5. Step 5: Solve for x
   x = 36,741,222,400/87,434
6. Step 6: Final answer
   x = 420,216.65