Finding the Third Proportional to 80,269 and 175,763

Step by Step Solution

1. Step 1: Write the proportion equation
   80,269 : 175,763 = 175,763 : x
2. Step 2: Convert to fraction form
   80,269/175,763 = 175,763/x
3. Step 3: Cross multiply
   80,269x = 175,763 × 175,763
4. Step 4: Simplify right side
   80,269x = 30,892,632,169
5. Step 5: Solve for x
   x = 30,892,632,169/80,269
6. Step 6: Final answer
   x = 384,863.80