Finding the Third Proportional to 164,343 and 253,759.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,343 : 253,759.50 = 253,759.50 : x
2. Step 2: Convert to fraction form
   164,343/253,759.50 = 253,759.50/x
3. Step 3: Cross multiply
   164,343x = 253,759.50 × 253,759.50
4. Step 4: Simplify right side
   164,343x = 64,393,883,840.25
5. Step 5: Solve for x
   x = 64,393,883,840.25/164,343
6. Step 6: Final answer
   x = 391,826.14