Finding the Third Proportional to 42,744 and 98,262

Step by Step Solution

1. Step 1: Write the proportion equation
   42,744 : 98,262 = 98,262 : x
2. Step 2: Convert to fraction form
   42,744/98,262 = 98,262/x
3. Step 3: Cross multiply
   42,744x = 98,262 × 98,262
4. Step 4: Simplify right side
   42,744x = 9,655,420,644
5. Step 5: Solve for x
   x = 9,655,420,644/42,744
6. Step 6: Final answer
   x = 225,889.50