Finding the Third Proportional to 172,144 and 369,191

Step by Step Solution

1. Step 1: Write the proportion equation
   172,144 : 369,191 = 369,191 : x
2. Step 2: Convert to fraction form
   172,144/369,191 = 369,191/x
3. Step 3: Cross multiply
   172,144x = 369,191 × 369,191
4. Step 4: Simplify right side
   172,144x = 136,301,994,481
5. Step 5: Solve for x
   x = 136,301,994,481/172,144
6. Step 6: Final answer
   x = 791,790.56