Finding the Third Proportional to 178,578 and 269,691.75

Step by Step Solution

1. Step 1: Write the proportion equation
   178,578 : 269,691.75 = 269,691.75 : x
2. Step 2: Convert to fraction form
   178,578/269,691.75 = 269,691.75/x
3. Step 3: Cross multiply
   178,578x = 269,691.75 × 269,691.75
4. Step 4: Simplify right side
   178,578x = 72,733,640,018.06
5. Step 5: Solve for x
   x = 72,733,640,018.06/178,578
6. Step 6: Final answer
   x = 407,293.40