Finding the Third Proportional to 76,928 and 166,978

Step by Step Solution

1. Step 1: Write the proportion equation
   76,928 : 166,978 = 166,978 : x
2. Step 2: Convert to fraction form
   76,928/166,978 = 166,978/x
3. Step 3: Cross multiply
   76,928x = 166,978 × 166,978
4. Step 4: Simplify right side
   76,928x = 27,881,652,484
5. Step 5: Solve for x
   x = 27,881,652,484/76,928
6. Step 6: Final answer
   x = 362,438.29