Finding the Third Proportional to 114,978 and 176,661

Step by Step Solution

1. Step 1: Write the proportion equation
   114,978 : 176,661 = 176,661 : x
2. Step 2: Convert to fraction form
   114,978/176,661 = 176,661/x
3. Step 3: Cross multiply
   114,978x = 176,661 × 176,661
4. Step 4: Simplify right side
   114,978x = 31,209,108,921
5. Step 5: Solve for x
   x = 31,209,108,921/114,978
6. Step 6: Final answer
   x = 271,435.48