Finding the Third Proportional to 144,743.75 and 314,242

Step by Step Solution

1. Step 1: Write the proportion equation
   144,743.75 : 314,242 = 314,242 : x
2. Step 2: Convert to fraction form
   144,743.75/314,242 = 314,242/x
3. Step 3: Cross multiply
   144,743.75x = 314,242 × 314,242
4. Step 4: Simplify right side
   144,743.75x = 98,748,034,564
5. Step 5: Solve for x
   x = 98,748,034,564/144,743.75
6. Step 6: Final answer
   x = 682,226.59