Finding the Third Proportional to 172,096 and 369,103

Step by Step Solution

1. Step 1: Write the proportion equation
   172,096 : 369,103 = 369,103 : x
2. Step 2: Convert to fraction form
   172,096/369,103 = 369,103/x
3. Step 3: Cross multiply
   172,096x = 369,103 × 369,103
4. Step 4: Simplify right side
   172,096x = 136,237,024,609
5. Step 5: Solve for x
   x = 136,237,024,609/172,096
6. Step 6: Final answer
   x = 791,633.88