Finding the Third Proportional to 250,970 and 377,014

Step by Step Solution

1. Step 1: Write the proportion equation
   250,970 : 377,014 = 377,014 : x
2. Step 2: Convert to fraction form
   250,970/377,014 = 377,014/x
3. Step 3: Cross multiply
   250,970x = 377,014 × 377,014
4. Step 4: Simplify right side
   250,970x = 142,139,556,196
5. Step 5: Solve for x
   x = 142,139,556,196/250,970
6. Step 6: Final answer
   x = 566,360.75