Finding the Third Proportional to 71,823 and 152,724

Step by Step Solution

1. Step 1: Write the proportion equation
   71,823 : 152,724 = 152,724 : x
2. Step 2: Convert to fraction form
   71,823/152,724 = 152,724/x
3. Step 3: Cross multiply
   71,823x = 152,724 × 152,724
4. Step 4: Simplify right side
   71,823x = 23,324,620,176
5. Step 5: Solve for x
   x = 23,324,620,176/71,823
6. Step 6: Final answer
   x = 324,751.41