Finding the Third Proportional to 114,111 and 177,388

Step by Step Solution

1. Step 1: Write the proportion equation
   114,111 : 177,388 = 177,388 : x
2. Step 2: Convert to fraction form
   114,111/177,388 = 177,388/x
3. Step 3: Cross multiply
   114,111x = 177,388 × 177,388
4. Step 4: Simplify right side
   114,111x = 31,466,502,544
5. Step 5: Solve for x
   x = 31,466,502,544/114,111
6. Step 6: Final answer
   x = 275,753.46