Finding the Third Proportional to 114,164 and 177,456

Step by Step Solution

1. Step 1: Write the proportion equation
   114,164 : 177,456 = 177,456 : x
2. Step 2: Convert to fraction form
   114,164/177,456 = 177,456/x
3. Step 3: Cross multiply
   114,164x = 177,456 × 177,456
4. Step 4: Simplify right side
   114,164x = 31,490,631,936
5. Step 5: Solve for x
   x = 31,490,631,936/114,164
6. Step 6: Final answer
   x = 275,836.80