Finding the Third Proportional to 122,638.50 and 164,810.25

Step by Step Solution

1. Step 1: Write the proportion equation
   122,638.50 : 164,810.25 = 164,810.25 : x
2. Step 2: Convert to fraction form
   122,638.50/164,810.25 = 164,810.25/x
3. Step 3: Cross multiply
   122,638.50x = 164,810.25 × 164,810.25
4. Step 4: Simplify right side
   122,638.50x = 27,162,418,505.06
5. Step 5: Solve for x
   x = 27,162,418,505.06/122,638.50
6. Step 6: Final answer
   x = 221,483.62