Finding the Third Proportional to 175,553 and 262,945

Step by Step Solution

1. Step 1: Write the proportion equation
   175,553 : 262,945 = 262,945 : x
2. Step 2: Convert to fraction form
   175,553/262,945 = 262,945/x
3. Step 3: Cross multiply
   175,553x = 262,945 × 262,945
4. Step 4: Simplify right side
   175,553x = 69,140,073,025
5. Step 5: Solve for x
   x = 69,140,073,025/175,553
6. Step 6: Final answer
   x = 393,841.59