Finding the Third Proportional to 65,993 and 146,710

Step by Step Solution

1. Step 1: Write the proportion equation
   65,993 : 146,710 = 146,710 : x
2. Step 2: Convert to fraction form
   65,993/146,710 = 146,710/x
3. Step 3: Cross multiply
   65,993x = 146,710 × 146,710
4. Step 4: Simplify right side
   65,993x = 21,523,824,100
5. Step 5: Solve for x
   x = 21,523,824,100/65,993
6. Step 6: Final answer
   x = 326,153.14