Finding the Third Proportional to 67,066 and 145,665

Step by Step Solution

1. Step 1: Write the proportion equation
   67,066 : 145,665 = 145,665 : x
2. Step 2: Convert to fraction form
   67,066/145,665 = 145,665/x
3. Step 3: Cross multiply
   67,066x = 145,665 × 145,665
4. Step 4: Simplify right side
   67,066x = 21,218,292,225
5. Step 5: Solve for x
   x = 21,218,292,225/67,066
6. Step 6: Final answer
   x = 316,379.27