Finding the Third Proportional to 65,936 and 146,614

Step by Step Solution

1. Step 1: Write the proportion equation
   65,936 : 146,614 = 146,614 : x
2. Step 2: Convert to fraction form
   65,936/146,614 = 146,614/x
3. Step 3: Cross multiply
   65,936x = 146,614 × 146,614
4. Step 4: Simplify right side
   65,936x = 21,495,664,996
5. Step 5: Solve for x
   x = 21,495,664,996/65,936
6. Step 6: Final answer
   x = 326,008.02