Finding the Third Proportional to 177,795 and 259,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,795 : 259,672.50 = 259,672.50 : x
2. Step 2: Convert to fraction form
   177,795/259,672.50 = 259,672.50/x
3. Step 3: Cross multiply
   177,795x = 259,672.50 × 259,672.50
4. Step 4: Simplify right side
   177,795x = 67,429,807,256.25
5. Step 5: Solve for x
   x = 67,429,807,256.25/177,795
6. Step 6: Final answer
   x = 379,255.93