Finding the Third Proportional to 122,644.50 and 164,818.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,644.50 : 164,818.50 = 164,818.50 : x
2. Step 2: Convert to fraction form
   122,644.50/164,818.50 = 164,818.50/x
3. Step 3: Cross multiply
   122,644.50x = 164,818.50 × 164,818.50
4. Step 4: Simplify right side
   122,644.50x = 27,165,137,942.25
5. Step 5: Solve for x
   x = 27,165,137,942.25/122,644.50
6. Step 6: Final answer
   x = 221,494.95