Finding the Third Proportional to 46,166 and 101,116

Step by Step Solution

1. Step 1: Write the proportion equation
   46,166 : 101,116 = 101,116 : x
2. Step 2: Convert to fraction form
   46,166/101,116 = 101,116/x
3. Step 3: Cross multiply
   46,166x = 101,116 × 101,116
4. Step 4: Simplify right side
   46,166x = 10,224,445,456
5. Step 5: Solve for x
   x = 10,224,445,456/46,166
6. Step 6: Final answer
   x = 221,471.33