Finding the Third Proportional to 78,168 and 114,648

Step by Step Solution

1. Step 1: Write the proportion equation
   78,168 : 114,648 = 114,648 : x
2. Step 2: Convert to fraction form
   78,168/114,648 = 114,648/x
3. Step 3: Cross multiply
   78,168x = 114,648 × 114,648
4. Step 4: Simplify right side
   78,168x = 13,144,163,904
5. Step 5: Solve for x
   x = 13,144,163,904/78,168
6. Step 6: Final answer
   x = 168,152.75