Finding the Third Proportional to 65,415 and 145,632

Step by Step Solution

1. Step 1: Write the proportion equation
   65,415 : 145,632 = 145,632 : x
2. Step 2: Convert to fraction form
   65,415/145,632 = 145,632/x
3. Step 3: Cross multiply
   65,415x = 145,632 × 145,632
4. Step 4: Simplify right side
   65,415x = 21,208,679,424
5. Step 5: Solve for x
   x = 21,208,679,424/65,415
6. Step 6: Final answer
   x = 324,217.37