Finding the Third Proportional to 80,278 and 175,780

Step by Step Solution

1. Step 1: Write the proportion equation
   80,278 : 175,780 = 175,780 : x
2. Step 2: Convert to fraction form
   80,278/175,780 = 175,780/x
3. Step 3: Cross multiply
   80,278x = 175,780 × 175,780
4. Step 4: Simplify right side
   80,278x = 30,898,608,400
5. Step 5: Solve for x
   x = 30,898,608,400/80,278
6. Step 6: Final answer
   x = 384,895.09