Finding the Third Proportional to 71,133.75 and 152,723.25

Step by Step Solution

1. Step 1: Write the proportion equation
   71,133.75 : 152,723.25 = 152,723.25 : x
2. Step 2: Convert to fraction form
   71,133.75/152,723.25 = 152,723.25/x
3. Step 3: Cross multiply
   71,133.75x = 152,723.25 × 152,723.25
4. Step 4: Simplify right side
   71,133.75x = 23,324,391,090.56
5. Step 5: Solve for x
   x = 23,324,391,090.56/71,133.75
6. Step 6: Final answer
   x = 327,894.86