Finding the Third Proportional to 111,119 and 176,521

Step by Step Solution

1. Step 1: Write the proportion equation
   111,119 : 176,521 = 176,521 : x
2. Step 2: Convert to fraction form
   111,119/176,521 = 176,521/x
3. Step 3: Cross multiply
   111,119x = 176,521 × 176,521
4. Step 4: Simplify right side
   111,119x = 31,159,663,441
5. Step 5: Solve for x
   x = 31,159,663,441/111,119
6. Step 6: Final answer
   x = 280,417.06