Finding the Third Proportional to 87,691 and 191,789

Step by Step Solution

1. Step 1: Write the proportion equation
   87,691 : 191,789 = 191,789 : x
2. Step 2: Convert to fraction form
   87,691/191,789 = 191,789/x
3. Step 3: Cross multiply
   87,691x = 191,789 × 191,789
4. Step 4: Simplify right side
   87,691x = 36,783,020,521
5. Step 5: Solve for x
   x = 36,783,020,521/87,691
6. Step 6: Final answer
   x = 419,461.75