Finding the Third Proportional to 78,014 and 162,024

Step by Step Solution

1. Step 1: Write the proportion equation
   78,014 : 162,024 = 162,024 : x
2. Step 2: Convert to fraction form
   78,014/162,024 = 162,024/x
3. Step 3: Cross multiply
   78,014x = 162,024 × 162,024
4. Step 4: Simplify right side
   78,014x = 26,251,776,576
5. Step 5: Solve for x
   x = 26,251,776,576/78,014
6. Step 6: Final answer
   x = 336,500.84