Finding the Third Proportional to 78,976 and 186,434

Step by Step Solution

1. Step 1: Write the proportion equation
   78,976 : 186,434 = 186,434 : x
2. Step 2: Convert to fraction form
   78,976/186,434 = 186,434/x
3. Step 3: Cross multiply
   78,976x = 186,434 × 186,434
4. Step 4: Simplify right side
   78,976x = 34,757,636,356
5. Step 5: Solve for x
   x = 34,757,636,356/78,976
6. Step 6: Final answer
   x = 440,103.78