Finding the Third Proportional to 46,738 and 101,012

Step by Step Solution

1. Step 1: Write the proportion equation
   46,738 : 101,012 = 101,012 : x
2. Step 2: Convert to fraction form
   46,738/101,012 = 101,012/x
3. Step 3: Cross multiply
   46,738x = 101,012 × 101,012
4. Step 4: Simplify right side
   46,738x = 10,203,424,144
5. Step 5: Solve for x
   x = 10,203,424,144/46,738
6. Step 6: Final answer
   x = 218,311.10