Finding the Third Proportional to 178,218 and 259,300

Step by Step Solution

1. Step 1: Write the proportion equation
   178,218 : 259,300 = 259,300 : x
2. Step 2: Convert to fraction form
   178,218/259,300 = 259,300/x
3. Step 3: Cross multiply
   178,218x = 259,300 × 259,300
4. Step 4: Simplify right side
   178,218x = 67,236,490,000
5. Step 5: Solve for x
   x = 67,236,490,000/178,218
6. Step 6: Final answer
   x = 377,271.04