Finding the Third Proportional to 175,499 and 256,666

Step by Step Solution

1. Step 1: Write the proportion equation
   175,499 : 256,666 = 256,666 : x
2. Step 2: Convert to fraction form
   175,499/256,666 = 256,666/x
3. Step 3: Cross multiply
   175,499x = 256,666 × 256,666
4. Step 4: Simplify right side
   175,499x = 65,877,435,556
5. Step 5: Solve for x
   x = 65,877,435,556/175,499
6. Step 6: Final answer
   x = 375,372.14