Finding the Third Proportional to 118,752 and 179,262

Step by Step Solution

1. Step 1: Write the proportion equation
   118,752 : 179,262 = 179,262 : x
2. Step 2: Convert to fraction form
   118,752/179,262 = 179,262/x
3. Step 3: Cross multiply
   118,752x = 179,262 × 179,262
4. Step 4: Simplify right side
   118,752x = 32,134,864,644
5. Step 5: Solve for x
   x = 32,134,864,644/118,752
6. Step 6: Final answer
   x = 270,604.83