Finding the Third Proportional to 78,576 and 145,662

Step by Step Solution

1. Step 1: Write the proportion equation
   78,576 : 145,662 = 145,662 : x
2. Step 2: Convert to fraction form
   78,576/145,662 = 145,662/x
3. Step 3: Cross multiply
   78,576x = 145,662 × 145,662
4. Step 4: Simplify right side
   78,576x = 21,217,418,244
5. Step 5: Solve for x
   x = 21,217,418,244/78,576
6. Step 6: Final answer
   x = 270,024.16