Finding the Third Proportional to 164,540.50 and 252,798

Step by Step Solution

1. Step 1: Write the proportion equation
   164,540.50 : 252,798 = 252,798 : x
2. Step 2: Convert to fraction form
   164,540.50/252,798 = 252,798/x
3. Step 3: Cross multiply
   164,540.50x = 252,798 × 252,798
4. Step 4: Simplify right side
   164,540.50x = 63,906,828,804
5. Step 5: Solve for x
   x = 63,906,828,804/164,540.50
6. Step 6: Final answer
   x = 388,395.74