Finding the Third Proportional to 144,486 and 191,772

Step by Step Solution

1. Step 1: Write the proportion equation
   144,486 : 191,772 = 191,772 : x
2. Step 2: Convert to fraction form
   144,486/191,772 = 191,772/x
3. Step 3: Cross multiply
   144,486x = 191,772 × 191,772
4. Step 4: Simplify right side
   144,486x = 36,776,499,984
5. Step 5: Solve for x
   x = 36,776,499,984/144,486
6. Step 6: Final answer
   x = 254,533.31