Finding the Third Proportional to 164,038.50 and 253,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,038.50 : 253,327.50 = 253,327.50 : x
2. Step 2: Convert to fraction form
   164,038.50/253,327.50 = 253,327.50/x
3. Step 3: Cross multiply
   164,038.50x = 253,327.50 × 253,327.50
4. Step 4: Simplify right side
   164,038.50x = 64,174,822,256.25
5. Step 5: Solve for x
   x = 64,174,822,256.25/164,038.50
6. Step 6: Final answer
   x = 391,218.05