Finding the Third Proportional to 78,380 and 117,747

Step by Step Solution

1. Step 1: Write the proportion equation
   78,380 : 117,747 = 117,747 : x
2. Step 2: Convert to fraction form
   78,380/117,747 = 117,747/x
3. Step 3: Cross multiply
   78,380x = 117,747 × 117,747
4. Step 4: Simplify right side
   78,380x = 13,864,356,009
5. Step 5: Solve for x
   x = 13,864,356,009/78,380
6. Step 6: Final answer
   x = 176,886.40