Finding the Third Proportional to 80,386 and 174,606

Step by Step Solution

1. Step 1: Write the proportion equation
   80,386 : 174,606 = 174,606 : x
2. Step 2: Convert to fraction form
   80,386/174,606 = 174,606/x
3. Step 3: Cross multiply
   80,386x = 174,606 × 174,606
4. Step 4: Simplify right side
   80,386x = 30,487,255,236
5. Step 5: Solve for x
   x = 30,487,255,236/80,386
6. Step 6: Final answer
   x = 379,260.76