Finding the Third Proportional to 164,496 and 253,710

Step by Step Solution

1. Step 1: Write the proportion equation
   164,496 : 253,710 = 253,710 : x
2. Step 2: Convert to fraction form
   164,496/253,710 = 253,710/x
3. Step 3: Cross multiply
   164,496x = 253,710 × 253,710
4. Step 4: Simplify right side
   164,496x = 64,368,764,100
5. Step 5: Solve for x
   x = 64,368,764,100/164,496
6. Step 6: Final answer
   x = 391,308.99