Finding the Third Proportional to 87,456 and 191,724

Step by Step Solution

1. Step 1: Write the proportion equation
   87,456 : 191,724 = 191,724 : x
2. Step 2: Convert to fraction form
   87,456/191,724 = 191,724/x
3. Step 3: Cross multiply
   87,456x = 191,724 × 191,724
4. Step 4: Simplify right side
   87,456x = 36,758,092,176
5. Step 5: Solve for x
   x = 36,758,092,176/87,456
6. Step 6: Final answer
   x = 420,303.83