Finding the Third Proportional to 122,151 and 178,849.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,151 : 178,849.50 = 178,849.50 : x
2. Step 2: Convert to fraction form
   122,151/178,849.50 = 178,849.50/x
3. Step 3: Cross multiply
   122,151x = 178,849.50 × 178,849.50
4. Step 4: Simplify right side
   122,151x = 31,987,143,650.25
5. Step 5: Solve for x
   x = 31,987,143,650.25/122,151
6. Step 6: Final answer
   x = 261,865.59