Finding the Third Proportional to 65,215 and 142,931

Step by Step Solution

1. Step 1: Write the proportion equation
   65,215 : 142,931 = 142,931 : x
2. Step 2: Convert to fraction form
   65,215/142,931 = 142,931/x
3. Step 3: Cross multiply
   65,215x = 142,931 × 142,931
4. Step 4: Simplify right side
   65,215x = 20,429,270,761
5. Step 5: Solve for x
   x = 20,429,270,761/65,215
6. Step 6: Final answer
   x = 313,260.30