Finding the Third Proportional to 164,926 and 250,521

Step by Step Solution

1. Step 1: Write the proportion equation
   164,926 : 250,521 = 250,521 : x
2. Step 2: Convert to fraction form
   164,926/250,521 = 250,521/x
3. Step 3: Cross multiply
   164,926x = 250,521 × 250,521
4. Step 4: Simplify right side
   164,926x = 62,760,771,441
5. Step 5: Solve for x
   x = 62,760,771,441/164,926
6. Step 6: Final answer
   x = 380,538.98