Finding the Third Proportional to 81,808 and 175,442

Step by Step Solution

1. Step 1: Write the proportion equation
   81,808 : 175,442 = 175,442 : x
2. Step 2: Convert to fraction form
   81,808/175,442 = 175,442/x
3. Step 3: Cross multiply
   81,808x = 175,442 × 175,442
4. Step 4: Simplify right side
   81,808x = 30,779,895,364
5. Step 5: Solve for x
   x = 30,779,895,364/81,808
6. Step 6: Final answer
   x = 376,245.54