Finding the Third Proportional to 80,611 and 175,558

Step by Step Solution

1. Step 1: Write the proportion equation
   80,611 : 175,558 = 175,558 : x
2. Step 2: Convert to fraction form
   80,611/175,558 = 175,558/x
3. Step 3: Cross multiply
   80,611x = 175,558 × 175,558
4. Step 4: Simplify right side
   80,611x = 30,820,611,364
5. Step 5: Solve for x
   x = 30,820,611,364/80,611
6. Step 6: Final answer
   x = 382,337.54