Finding the Third Proportional to 175,978 and 250,736

Step by Step Solution

1. Step 1: Write the proportion equation
   175,978 : 250,736 = 250,736 : x
2. Step 2: Convert to fraction form
   175,978/250,736 = 250,736/x
3. Step 3: Cross multiply
   175,978x = 250,736 × 250,736
4. Step 4: Simplify right side
   175,978x = 62,868,541,696
5. Step 5: Solve for x
   x = 62,868,541,696/175,978
6. Step 6: Final answer
   x = 357,252.28