Finding the Third Proportional to 64,442 and 141,965

Step by Step Solution

1. Step 1: Write the proportion equation
   64,442 : 141,965 = 141,965 : x
2. Step 2: Convert to fraction form
   64,442/141,965 = 141,965/x
3. Step 3: Cross multiply
   64,442x = 141,965 × 141,965
4. Step 4: Simplify right side
   64,442x = 20,154,061,225
5. Step 5: Solve for x
   x = 20,154,061,225/64,442
6. Step 6: Final answer
   x = 312,747.30