Finding the Third Proportional to 250,705.50 and 377,256

Step by Step Solution

1. Step 1: Write the proportion equation
   250,705.50 : 377,256 = 377,256 : x
2. Step 2: Convert to fraction form
   250,705.50/377,256 = 377,256/x
3. Step 3: Cross multiply
   250,705.50x = 377,256 × 377,256
4. Step 4: Simplify right side
   250,705.50x = 142,322,089,536
5. Step 5: Solve for x
   x = 142,322,089,536/250,705.50
6. Step 6: Final answer
   x = 567,686.35