Finding the Third Proportional to 111,978 and 169,745

Step by Step Solution

1. Step 1: Write the proportion equation
   111,978 : 169,745 = 169,745 : x
2. Step 2: Convert to fraction form
   111,978/169,745 = 169,745/x
3. Step 3: Cross multiply
   111,978x = 169,745 × 169,745
4. Step 4: Simplify right side
   111,978x = 28,813,365,025
5. Step 5: Solve for x
   x = 28,813,365,025/111,978
6. Step 6: Final answer
   x = 257,312.73