Finding the Third Proportional to 177,361.50 and 260,856

Step by Step Solution

1. Step 1: Write the proportion equation
   177,361.50 : 260,856 = 260,856 : x
2. Step 2: Convert to fraction form
   177,361.50/260,856 = 260,856/x
3. Step 3: Cross multiply
   177,361.50x = 260,856 × 260,856
4. Step 4: Simplify right side
   177,361.50x = 68,045,852,736
5. Step 5: Solve for x
   x = 68,045,852,736/177,361.50
6. Step 6: Final answer
   x = 383,656.28