Finding the Third Proportional to 80,523 and 176,978

Step by Step Solution

1. Step 1: Write the proportion equation
   80,523 : 176,978 = 176,978 : x
2. Step 2: Convert to fraction form
   80,523/176,978 = 176,978/x
3. Step 3: Cross multiply
   80,523x = 176,978 × 176,978
4. Step 4: Simplify right side
   80,523x = 31,321,212,484
5. Step 5: Solve for x
   x = 31,321,212,484/80,523
6. Step 6: Final answer
   x = 388,972.25