Finding the Third Proportional to 65,563 and 140,684

Step by Step Solution

1. Step 1: Write the proportion equation
   65,563 : 140,684 = 140,684 : x
2. Step 2: Convert to fraction form
   65,563/140,684 = 140,684/x
3. Step 3: Cross multiply
   65,563x = 140,684 × 140,684
4. Step 4: Simplify right side
   65,563x = 19,791,987,856
5. Step 5: Solve for x
   x = 19,791,987,856/65,563
6. Step 6: Final answer
   x = 301,877.40