Finding the Third Proportional to 175,469 and 262,034

Step by Step Solution

1. Step 1: Write the proportion equation
   175,469 : 262,034 = 262,034 : x
2. Step 2: Convert to fraction form
   175,469/262,034 = 262,034/x
3. Step 3: Cross multiply
   175,469x = 262,034 × 262,034
4. Step 4: Simplify right side
   175,469x = 68,661,817,156
5. Step 5: Solve for x
   x = 68,661,817,156/175,469
6. Step 6: Final answer
   x = 391,304.54