Finding the Third Proportional to 85,698 and 175,572

Step by Step Solution

1. Step 1: Write the proportion equation
   85,698 : 175,572 = 175,572 : x
2. Step 2: Convert to fraction form
   85,698/175,572 = 175,572/x
3. Step 3: Cross multiply
   85,698x = 175,572 × 175,572
4. Step 4: Simplify right side
   85,698x = 30,825,527,184
5. Step 5: Solve for x
   x = 30,825,527,184/85,698
6. Step 6: Final answer
   x = 359,699.49