Finding the Third Proportional to 41,634 and 101,468

Step by Step Solution

1. Step 1: Write the proportion equation
   41,634 : 101,468 = 101,468 : x
2. Step 2: Convert to fraction form
   41,634/101,468 = 101,468/x
3. Step 3: Cross multiply
   41,634x = 101,468 × 101,468
4. Step 4: Simplify right side
   41,634x = 10,295,755,024
5. Step 5: Solve for x
   x = 10,295,755,024/41,634
6. Step 6: Final answer
   x = 247,292.00