Finding the Third Proportional to 87,680 and 191,760

Step by Step Solution

1. Step 1: Write the proportion equation
   87,680 : 191,760 = 191,760 : x
2. Step 2: Convert to fraction form
   87,680/191,760 = 191,760/x
3. Step 3: Cross multiply
   87,680x = 191,760 × 191,760
4. Step 4: Simplify right side
   87,680x = 36,771,897,600
5. Step 5: Solve for x
   x = 36,771,897,600/87,680
6. Step 6: Final answer
   x = 419,387.52