Finding the Third Proportional to 85,196 and 175,854

Step by Step Solution

1. Step 1: Write the proportion equation
   85,196 : 175,854 = 175,854 : x
2. Step 2: Convert to fraction form
   85,196/175,854 = 175,854/x
3. Step 3: Cross multiply
   85,196x = 175,854 × 175,854
4. Step 4: Simplify right side
   85,196x = 30,924,629,316
5. Step 5: Solve for x
   x = 30,924,629,316/85,196
6. Step 6: Final answer
   x = 362,982.17