Finding the Third Proportional to 46,106 and 101,140

Step by Step Solution

1. Step 1: Write the proportion equation
   46,106 : 101,140 = 101,140 : x
2. Step 2: Convert to fraction form
   46,106/101,140 = 101,140/x
3. Step 3: Cross multiply
   46,106x = 101,140 × 101,140
4. Step 4: Simplify right side
   46,106x = 10,229,299,600
5. Step 5: Solve for x
   x = 10,229,299,600/46,106
6. Step 6: Final answer
   x = 221,864.82