Finding the Third Proportional to 78,408 and 117,789

Step by Step Solution

1. Step 1: Write the proportion equation
   78,408 : 117,789 = 117,789 : x
2. Step 2: Convert to fraction form
   78,408/117,789 = 117,789/x
3. Step 3: Cross multiply
   78,408x = 117,789 × 117,789
4. Step 4: Simplify right side
   78,408x = 13,874,248,521
5. Step 5: Solve for x
   x = 13,874,248,521/78,408
6. Step 6: Final answer
   x = 176,949.40