Finding the Third Proportional to 65,232 and 142,966

Step by Step Solution

1. Step 1: Write the proportion equation
   65,232 : 142,966 = 142,966 : x
2. Step 2: Convert to fraction form
   65,232/142,966 = 142,966/x
3. Step 3: Cross multiply
   65,232x = 142,966 × 142,966
4. Step 4: Simplify right side
   65,232x = 20,439,277,156
5. Step 5: Solve for x
   x = 20,439,277,156/65,232
6. Step 6: Final answer
   x = 313,332.06