Finding the Third Proportional to 69,277 and 111,566

Step by Step Solution

1. Step 1: Write the proportion equation
   69,277 : 111,566 = 111,566 : x
2. Step 2: Convert to fraction form
   69,277/111,566 = 111,566/x
3. Step 3: Cross multiply
   69,277x = 111,566 × 111,566
4. Step 4: Simplify right side
   69,277x = 12,446,972,356
5. Step 5: Solve for x
   x = 12,446,972,356/69,277
6. Step 6: Final answer
   x = 179,669.62