Finding the Third Proportional to 122,185.50 and 178,904.25

Step by Step Solution

1. Step 1: Write the proportion equation
   122,185.50 : 178,904.25 = 178,904.25 : x
2. Step 2: Convert to fraction form
   122,185.50/178,904.25 = 178,904.25/x
3. Step 3: Cross multiply
   122,185.50x = 178,904.25 × 178,904.25
4. Step 4: Simplify right side
   122,185.50x = 32,006,730,668.06
5. Step 5: Solve for x
   x = 32,006,730,668.06/122,185.50
6. Step 6: Final answer
   x = 261,951.96