Finding the Third Proportional to 144,834 and 191,502

Step by Step Solution

1. Step 1: Write the proportion equation
   144,834 : 191,502 = 191,502 : x
2. Step 2: Convert to fraction form
   144,834/191,502 = 191,502/x
3. Step 3: Cross multiply
   144,834x = 191,502 × 191,502
4. Step 4: Simplify right side
   144,834x = 36,673,016,004
5. Step 5: Solve for x
   x = 36,673,016,004/144,834
6. Step 6: Final answer
   x = 253,207.23