Finding the Third Proportional to 78,392 and 117,768

Step by Step Solution

1. Step 1: Write the proportion equation
   78,392 : 117,768 = 117,768 : x
2. Step 2: Convert to fraction form
   78,392/117,768 = 117,768/x
3. Step 3: Cross multiply
   78,392x = 117,768 × 117,768
4. Step 4: Simplify right side
   78,392x = 13,869,301,824
5. Step 5: Solve for x
   x = 13,869,301,824/78,392
6. Step 6: Final answer
   x = 176,922.41