Finding the Third Proportional to 177,291 and 379,496.25

Step by Step Solution

1. Step 1: Write the proportion equation
   177,291 : 379,496.25 = 379,496.25 : x
2. Step 2: Convert to fraction form
   177,291/379,496.25 = 379,496.25/x
3. Step 3: Cross multiply
   177,291x = 379,496.25 × 379,496.25
4. Step 4: Simplify right side
   177,291x = 144,017,403,764.06
5. Step 5: Solve for x
   x = 144,017,403,764.06/177,291
6. Step 6: Final answer
   x = 812,322.14