Finding the Third Proportional to 114,795 and 243,225

Step by Step Solution

1. Step 1: Write the proportion equation
   114,795 : 243,225 = 243,225 : x
2. Step 2: Convert to fraction form
   114,795/243,225 = 243,225/x
3. Step 3: Cross multiply
   114,795x = 243,225 × 243,225
4. Step 4: Simplify right side
   114,795x = 59,158,400,625
5. Step 5: Solve for x
   x = 59,158,400,625/114,795
6. Step 6: Final answer
   x = 515,339.52