Finding the Third Proportional to 172,442 and 269,142

Step by Step Solution

1. Step 1: Write the proportion equation
   172,442 : 269,142 = 269,142 : x
2. Step 2: Convert to fraction form
   172,442/269,142 = 269,142/x
3. Step 3: Cross multiply
   172,442x = 269,142 × 269,142
4. Step 4: Simplify right side
   172,442x = 72,437,416,164
5. Step 5: Solve for x
   x = 72,437,416,164/172,442
6. Step 6: Final answer
   x = 420,068.29