Finding the Third Proportional to 80,501 and 176,554

Step by Step Solution

1. Step 1: Write the proportion equation
   80,501 : 176,554 = 176,554 : x
2. Step 2: Convert to fraction form
   80,501/176,554 = 176,554/x
3. Step 3: Cross multiply
   80,501x = 176,554 × 176,554
4. Step 4: Simplify right side
   80,501x = 31,171,314,916
5. Step 5: Solve for x
   x = 31,171,314,916/80,501
6. Step 6: Final answer
   x = 387,216.49