Finding the Third Proportional to 78,014 and 114,244

Step by Step Solution

1. Step 1: Write the proportion equation
   78,014 : 114,244 = 114,244 : x
2. Step 2: Convert to fraction form
   78,014/114,244 = 114,244/x
3. Step 3: Cross multiply
   78,014x = 114,244 × 114,244
4. Step 4: Simplify right side
   78,014x = 13,051,691,536
5. Step 5: Solve for x
   x = 13,051,691,536/78,014
6. Step 6: Final answer
   x = 167,299.35