Finding the Third Proportional to 118,229 and 178,570

Step by Step Solution

1. Step 1: Write the proportion equation
   118,229 : 178,570 = 178,570 : x
2. Step 2: Convert to fraction form
   118,229/178,570 = 178,570/x
3. Step 3: Cross multiply
   118,229x = 178,570 × 178,570
4. Step 4: Simplify right side
   118,229x = 31,887,244,900
5. Step 5: Solve for x
   x = 31,887,244,900/118,229
6. Step 6: Final answer
   x = 269,707.47