Finding the Third Proportional to 71,538.50 and 154,148.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,538.50 : 154,148.50 = 154,148.50 : x
2. Step 2: Convert to fraction form
   71,538.50/154,148.50 = 154,148.50/x
3. Step 3: Cross multiply
   71,538.50x = 154,148.50 × 154,148.50
4. Step 4: Simplify right side
   71,538.50x = 23,761,760,052.25
5. Step 5: Solve for x
   x = 23,761,760,052.25/71,538.50
6. Step 6: Final answer
   x = 332,153.46