Finding the Third Proportional to 65,625 and 143,280

Step by Step Solution

1. Step 1: Write the proportion equation
   65,625 : 143,280 = 143,280 : x
2. Step 2: Convert to fraction form
   65,625/143,280 = 143,280/x
3. Step 3: Cross multiply
   65,625x = 143,280 × 143,280
4. Step 4: Simplify right side
   65,625x = 20,529,158,400
5. Step 5: Solve for x
   x = 20,529,158,400/65,625
6. Step 6: Final answer
   x = 312,825.27