Finding the Third Proportional to 101,218 and 144,186

Step by Step Solution

1. Step 1: Write the proportion equation
   101,218 : 144,186 = 144,186 : x
2. Step 2: Convert to fraction form
   101,218/144,186 = 144,186/x
3. Step 3: Cross multiply
   101,218x = 144,186 × 144,186
4. Step 4: Simplify right side
   101,218x = 20,789,602,596
5. Step 5: Solve for x
   x = 20,789,602,596/101,218
6. Step 6: Final answer
   x = 205,394.32