Finding the Third Proportional to 80,356 and 174,726

Step by Step Solution

1. Step 1: Write the proportion equation
   80,356 : 174,726 = 174,726 : x
2. Step 2: Convert to fraction form
   80,356/174,726 = 174,726/x
3. Step 3: Cross multiply
   80,356x = 174,726 × 174,726
4. Step 4: Simplify right side
   80,356x = 30,529,175,076
5. Step 5: Solve for x
   x = 30,529,175,076/80,356
6. Step 6: Final answer
   x = 379,924.03