Finding the Third Proportional to 78,408 and 117,788

Step by Step Solution

1. Step 1: Write the proportion equation
   78,408 : 117,788 = 117,788 : x
2. Step 2: Convert to fraction form
   78,408/117,788 = 117,788/x
3. Step 3: Cross multiply
   78,408x = 117,788 × 117,788
4. Step 4: Simplify right side
   78,408x = 13,874,012,944
5. Step 5: Solve for x
   x = 13,874,012,944/78,408
6. Step 6: Final answer
   x = 176,946.40