Finding the Third Proportional to 101,039 and 147,116

Step by Step Solution

1. Step 1: Write the proportion equation
   101,039 : 147,116 = 147,116 : x
2. Step 2: Convert to fraction form
   101,039/147,116 = 147,116/x
3. Step 3: Cross multiply
   101,039x = 147,116 × 147,116
4. Step 4: Simplify right side
   101,039x = 21,643,117,456
5. Step 5: Solve for x
   x = 21,643,117,456/101,039
6. Step 6: Final answer
   x = 214,205.58