Finding the Third Proportional to 111,916 and 177,214

Step by Step Solution

1. Step 1: Write the proportion equation
   111,916 : 177,214 = 177,214 : x
2. Step 2: Convert to fraction form
   111,916/177,214 = 177,214/x
3. Step 3: Cross multiply
   111,916x = 177,214 × 177,214
4. Step 4: Simplify right side
   111,916x = 31,404,801,796
5. Step 5: Solve for x
   x = 31,404,801,796/111,916
6. Step 6: Final answer
   x = 280,610.47