Finding the Third Proportional to 65,992 and 146,704

Step by Step Solution

1. Step 1: Write the proportion equation
   65,992 : 146,704 = 146,704 : x
2. Step 2: Convert to fraction form
   65,992/146,704 = 146,704/x
3. Step 3: Cross multiply
   65,992x = 146,704 × 146,704
4. Step 4: Simplify right side
   65,992x = 21,522,063,616
5. Step 5: Solve for x
   x = 21,522,063,616/65,992
6. Step 6: Final answer
   x = 326,131.40