Finding the Third Proportional to 85,724 and 191,320

Step by Step Solution

1. Step 1: Write the proportion equation
   85,724 : 191,320 = 191,320 : x
2. Step 2: Convert to fraction form
   85,724/191,320 = 191,320/x
3. Step 3: Cross multiply
   85,724x = 191,320 × 191,320
4. Step 4: Simplify right side
   85,724x = 36,603,342,400
5. Step 5: Solve for x
   x = 36,603,342,400/85,724
6. Step 6: Final answer
   x = 426,990.60