Finding the Third Proportional to 105,730 and 144,011

Step by Step Solution

1. Step 1: Write the proportion equation
   105,730 : 144,011 = 144,011 : x
2. Step 2: Convert to fraction form
   105,730/144,011 = 144,011/x
3. Step 3: Cross multiply
   105,730x = 144,011 × 144,011
4. Step 4: Simplify right side
   105,730x = 20,739,168,121
5. Step 5: Solve for x
   x = 20,739,168,121/105,730
6. Step 6: Final answer
   x = 196,152.16