Finding the Third Proportional to 175,496 and 256,662

Step by Step Solution

1. Step 1: Write the proportion equation
   175,496 : 256,662 = 256,662 : x
2. Step 2: Convert to fraction form
   175,496/256,662 = 256,662/x
3. Step 3: Cross multiply
   175,496x = 256,662 × 256,662
4. Step 4: Simplify right side
   175,496x = 65,875,382,244
5. Step 5: Solve for x
   x = 65,875,382,244/175,496
6. Step 6: Final answer
   x = 375,366.86