Finding the Third Proportional to 177,264 and 379,445.25

Step by Step Solution

1. Step 1: Write the proportion equation
   177,264 : 379,445.25 = 379,445.25 : x
2. Step 2: Convert to fraction form
   177,264/379,445.25 = 379,445.25/x
3. Step 3: Cross multiply
   177,264x = 379,445.25 × 379,445.25
4. Step 4: Simplify right side
   177,264x = 143,978,697,747.56
5. Step 5: Solve for x
   x = 143,978,697,747.56/177,264
6. Step 6: Final answer
   x = 812,227.51