Finding the Third Proportional to 65,994 and 146,712

Step by Step Solution

1. Step 1: Write the proportion equation
   65,994 : 146,712 = 146,712 : x
2. Step 2: Convert to fraction form
   65,994/146,712 = 146,712/x
3. Step 3: Cross multiply
   65,994x = 146,712 × 146,712
4. Step 4: Simplify right side
   65,994x = 21,524,410,944
5. Step 5: Solve for x
   x = 21,524,410,944/65,994
6. Step 6: Final answer
   x = 326,157.09