Finding the Third Proportional to 78,848 and 117,962

Step by Step Solution

1. Step 1: Write the proportion equation
   78,848 : 117,962 = 117,962 : x
2. Step 2: Convert to fraction form
   78,848/117,962 = 117,962/x
3. Step 3: Cross multiply
   78,848x = 117,962 × 117,962
4. Step 4: Simplify right side
   78,848x = 13,915,033,444
5. Step 5: Solve for x
   x = 13,915,033,444/78,848
6. Step 6: Final answer
   x = 176,479.22