Finding the Third Proportional to 46,362 and 101,471

Step by Step Solution

1. Step 1: Write the proportion equation
   46,362 : 101,471 = 101,471 : x
2. Step 2: Convert to fraction form
   46,362/101,471 = 101,471/x
3. Step 3: Cross multiply
   46,362x = 101,471 × 101,471
4. Step 4: Simplify right side
   46,362x = 10,296,363,841
5. Step 5: Solve for x
   x = 10,296,363,841/46,362
6. Step 6: Final answer
   x = 222,086.27