Finding the Third Proportional to 46,472 and 101,838

Step by Step Solution

1. Step 1: Write the proportion equation
   46,472 : 101,838 = 101,838 : x
2. Step 2: Convert to fraction form
   46,472/101,838 = 101,838/x
3. Step 3: Cross multiply
   46,472x = 101,838 × 101,838
4. Step 4: Simplify right side
   46,472x = 10,370,978,244
5. Step 5: Solve for x
   x = 10,370,978,244/46,472
6. Step 6: Final answer
   x = 223,166.17