Finding the Third Proportional to 118,978 and 175,178

Step by Step Solution

1. Step 1: Write the proportion equation
   118,978 : 175,178 = 175,178 : x
2. Step 2: Convert to fraction form
   118,978/175,178 = 175,178/x
3. Step 3: Cross multiply
   118,978x = 175,178 × 175,178
4. Step 4: Simplify right side
   118,978x = 30,687,331,684
5. Step 5: Solve for x
   x = 30,687,331,684/118,978
6. Step 6: Final answer
   x = 257,924.42