Finding the Third Proportional to 65,542.50 and 140,643

Step by Step Solution

1. Step 1: Write the proportion equation
   65,542.50 : 140,643 = 140,643 : x
2. Step 2: Convert to fraction form
   65,542.50/140,643 = 140,643/x
3. Step 3: Cross multiply
   65,542.50x = 140,643 × 140,643
4. Step 4: Simplify right side
   65,542.50x = 19,780,453,449
5. Step 5: Solve for x
   x = 19,780,453,449/65,542.50
6. Step 6: Final answer
   x = 301,795.83