Finding the Third Proportional to 65,642.50 and 140,625

Step by Step Solution

1. Step 1: Write the proportion equation
   65,642.50 : 140,625 = 140,625 : x
2. Step 2: Convert to fraction form
   65,642.50/140,625 = 140,625/x
3. Step 3: Cross multiply
   65,642.50x = 140,625 × 140,625
4. Step 4: Simplify right side
   65,642.50x = 19,775,390,625
5. Step 5: Solve for x
   x = 19,775,390,625/65,642.50
6. Step 6: Final answer
   x = 301,258.95