Finding the Third Proportional to 46,866 and 101,114

Step by Step Solution

1. Step 1: Write the proportion equation
   46,866 : 101,114 = 101,114 : x
2. Step 2: Convert to fraction form
   46,866/101,114 = 101,114/x
3. Step 3: Cross multiply
   46,866x = 101,114 × 101,114
4. Step 4: Simplify right side
   46,866x = 10,224,040,996
5. Step 5: Solve for x
   x = 10,224,040,996/46,866
6. Step 6: Final answer
   x = 218,154.76