Finding the Third Proportional to 71,734.50 and 146,385

Step by Step Solution

1. Step 1: Write the proportion equation
   71,734.50 : 146,385 = 146,385 : x
2. Step 2: Convert to fraction form
   71,734.50/146,385 = 146,385/x
3. Step 3: Cross multiply
   71,734.50x = 146,385 × 146,385
4. Step 4: Simplify right side
   71,734.50x = 21,428,568,225
5. Step 5: Solve for x
   x = 21,428,568,225/71,734.50
6. Step 6: Final answer
   x = 298,720.54