Finding the Third Proportional to 144,006 and 191,089.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,006 : 191,089.50 = 191,089.50 : x
2. Step 2: Convert to fraction form
   144,006/191,089.50 = 191,089.50/x
3. Step 3: Cross multiply
   144,006x = 191,089.50 × 191,089.50
4. Step 4: Simplify right side
   144,006x = 36,515,197,010.25
5. Step 5: Solve for x
   x = 36,515,197,010.25/144,006
6. Step 6: Final answer
   x = 253,567.19