Finding the Third Proportional to 152,793 and 199,642

Step by Step Solution

1. Step 1: Write the proportion equation
   152,793 : 199,642 = 199,642 : x
2. Step 2: Convert to fraction form
   152,793/199,642 = 199,642/x
3. Step 3: Cross multiply
   152,793x = 199,642 × 199,642
4. Step 4: Simplify right side
   152,793x = 39,856,928,164
5. Step 5: Solve for x
   x = 39,856,928,164/152,793
6. Step 6: Final answer
   x = 260,855.72