Finding the Third Proportional to 106,102 and 144,184

Step by Step Solution

1. Step 1: Write the proportion equation
   106,102 : 144,184 = 144,184 : x
2. Step 2: Convert to fraction form
   106,102/144,184 = 144,184/x
3. Step 3: Cross multiply
   106,102x = 144,184 × 144,184
4. Step 4: Simplify right side
   106,102x = 20,789,025,856
5. Step 5: Solve for x
   x = 20,789,025,856/106,102
6. Step 6: Final answer
   x = 195,934.34