Finding the Third Proportional to 65,294 and 146,563

Step by Step Solution

1. Step 1: Write the proportion equation
   65,294 : 146,563 = 146,563 : x
2. Step 2: Convert to fraction form
   65,294/146,563 = 146,563/x
3. Step 3: Cross multiply
   65,294x = 146,563 × 146,563
4. Step 4: Simplify right side
   65,294x = 21,480,712,969
5. Step 5: Solve for x
   x = 21,480,712,969/65,294
6. Step 6: Final answer
   x = 328,984.49