Finding the Third Proportional to 80,594 and 175,182

Step by Step Solution

1. Step 1: Write the proportion equation
   80,594 : 175,182 = 175,182 : x
2. Step 2: Convert to fraction form
   80,594/175,182 = 175,182/x
3. Step 3: Cross multiply
   80,594x = 175,182 × 175,182
4. Step 4: Simplify right side
   80,594x = 30,688,733,124
5. Step 5: Solve for x
   x = 30,688,733,124/80,594
6. Step 6: Final answer
   x = 380,781.86